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Finding the Third Proportional to 27,705 and 59,352

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Solution

The third proportional to 27,705 and 59,352 is: 127,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705 : 59,352 = 59,352 : x
  2. Step 2: Convert to fraction form
    27,705/59,352 = 59,352/x
  3. Step 3: Cross multiply
    27,705x = 59,352 × 59,352
  4. Step 4: Simplify right side
    27,705x = 3,522,659,904
  5. Step 5: Solve for x
    x = 3,522,659,904/27,705
  6. Step 6: Final answer
    x = 127,148.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.