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Finding the Third Proportional to 19,388.27 and 29,646.24

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Solution

The third proportional to 19,388.27 and 29,646.24 is: 45,331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,388.27 : 29,646.24 = 29,646.24 : x
  2. Step 2: Convert to fraction form
    19,388.27/29,646.24 = 29,646.24/x
  3. Step 3: Cross multiply
    19,388.27x = 29,646.24 × 29,646.24
  4. Step 4: Simplify right side
    19,388.27x = 878,899,386.33
  5. Step 5: Solve for x
    x = 878,899,386.33/19,388.27
  6. Step 6: Final answer
    x = 45,331.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.