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Finding the Third Proportional to 29,024 and 63,514

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Solution

The third proportional to 29,024 and 63,514 is: 138,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,024 : 63,514 = 63,514 : x
  2. Step 2: Convert to fraction form
    29,024/63,514 = 63,514/x
  3. Step 3: Cross multiply
    29,024x = 63,514 × 63,514
  4. Step 4: Simplify right side
    29,024x = 4,034,028,196
  5. Step 5: Solve for x
    x = 4,034,028,196/29,024
  6. Step 6: Final answer
    x = 138,989.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.