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Finding the Third Proportional to 20,244.94 and 31,686.19

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Solution

The third proportional to 20,244.94 and 31,686.19 is: 49,593.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,244.94 : 31,686.19 = 31,686.19 : x
  2. Step 2: Convert to fraction form
    20,244.94/31,686.19 = 31,686.19/x
  3. Step 3: Cross multiply
    20,244.94x = 31,686.19 × 31,686.19
  4. Step 4: Simplify right side
    20,244.94x = 1,004,014,478.29
  5. Step 5: Solve for x
    x = 1,004,014,478.29/20,244.94
  6. Step 6: Final answer
    x = 49,593.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.