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Finding the Third Proportional to 43,584 and 61,376

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Solution

The third proportional to 43,584 and 61,376 is: 86,431.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,584 : 61,376 = 61,376 : x
  2. Step 2: Convert to fraction form
    43,584/61,376 = 61,376/x
  3. Step 3: Cross multiply
    43,584x = 61,376 × 61,376
  4. Step 4: Simplify right side
    43,584x = 3,767,013,376
  5. Step 5: Solve for x
    x = 3,767,013,376/43,584
  6. Step 6: Final answer
    x = 86,431.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.