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Finding the Third Proportional to 38,684 and 61,482

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Solution

The third proportional to 38,684 and 61,482 is: 97,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,684 : 61,482 = 61,482 : x
  2. Step 2: Convert to fraction form
    38,684/61,482 = 61,482/x
  3. Step 3: Cross multiply
    38,684x = 61,482 × 61,482
  4. Step 4: Simplify right side
    38,684x = 3,780,036,324
  5. Step 5: Solve for x
    x = 3,780,036,324/38,684
  6. Step 6: Final answer
    x = 97,715.76

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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.