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Finding the Third Proportional to 27,499 and 42,891

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Solution

The third proportional to 27,499 and 42,891 is: 66,898.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,499 : 42,891 = 42,891 : x
  2. Step 2: Convert to fraction form
    27,499/42,891 = 42,891/x
  3. Step 3: Cross multiply
    27,499x = 42,891 × 42,891
  4. Step 4: Simplify right side
    27,499x = 1,839,637,881
  5. Step 5: Solve for x
    x = 1,839,637,881/27,499
  6. Step 6: Final answer
    x = 66,898.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.