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Finding the Third Proportional to 38,952 and 61,038

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Solution

The third proportional to 38,952 and 61,038 is: 95,646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,952 : 61,038 = 61,038 : x
  2. Step 2: Convert to fraction form
    38,952/61,038 = 61,038/x
  3. Step 3: Cross multiply
    38,952x = 61,038 × 61,038
  4. Step 4: Simplify right side
    38,952x = 3,725,637,444
  5. Step 5: Solve for x
    x = 3,725,637,444/38,952
  6. Step 6: Final answer
    x = 95,646.88

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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.