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Finding the Third Proportional to 38,428 and 56,514

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Solution

The third proportional to 38,428 and 56,514 is: 83,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,428 : 56,514 = 56,514 : x
  2. Step 2: Convert to fraction form
    38,428/56,514 = 56,514/x
  3. Step 3: Cross multiply
    38,428x = 56,514 × 56,514
  4. Step 4: Simplify right side
    38,428x = 3,193,832,196
  5. Step 5: Solve for x
    x = 3,193,832,196/38,428
  6. Step 6: Final answer
    x = 83,112.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.