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Finding the Third Proportional to 20,854.50 and 31,461.75

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Solution

The third proportional to 20,854.50 and 31,461.75 is: 47,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854.50 : 31,461.75 = 31,461.75 : x
  2. Step 2: Convert to fraction form
    20,854.50/31,461.75 = 31,461.75/x
  3. Step 3: Cross multiply
    20,854.50x = 31,461.75 × 31,461.75
  4. Step 4: Simplify right side
    20,854.50x = 989,841,713.06
  5. Step 5: Solve for x
    x = 989,841,713.06/20,854.50
  6. Step 6: Final answer
    x = 47,464.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.