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Finding the Third Proportional to 38,673 and 61,537

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Solution

The third proportional to 38,673 and 61,537 is: 97,918.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,673 : 61,537 = 61,537 : x
  2. Step 2: Convert to fraction form
    38,673/61,537 = 61,537/x
  3. Step 3: Cross multiply
    38,673x = 61,537 × 61,537
  4. Step 4: Simplify right side
    38,673x = 3,786,802,369
  5. Step 5: Solve for x
    x = 3,786,802,369/38,673
  6. Step 6: Final answer
    x = 97,918.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.