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Finding the Third Proportional to 27,497 and 61,312

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Solution

The third proportional to 27,497 and 61,312 is: 136,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,497 : 61,312 = 61,312 : x
  2. Step 2: Convert to fraction form
    27,497/61,312 = 61,312/x
  3. Step 3: Cross multiply
    27,497x = 61,312 × 61,312
  4. Step 4: Simplify right side
    27,497x = 3,759,161,344
  5. Step 5: Solve for x
    x = 3,759,161,344/27,497
  6. Step 6: Final answer
    x = 136,711.69

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.