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Finding the Third Proportional to 27,473 and 59,842

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Solution

The third proportional to 27,473 and 59,842 is: 130,348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,473 : 59,842 = 59,842 : x
  2. Step 2: Convert to fraction form
    27,473/59,842 = 59,842/x
  3. Step 3: Cross multiply
    27,473x = 59,842 × 59,842
  4. Step 4: Simplify right side
    27,473x = 3,581,064,964
  5. Step 5: Solve for x
    x = 3,581,064,964/27,473
  6. Step 6: Final answer
    x = 130,348.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.