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Finding the Third Proportional to 27,216 and 59,424

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Solution

The third proportional to 27,216 and 59,424 is: 129,747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,216 : 59,424 = 59,424 : x
  2. Step 2: Convert to fraction form
    27,216/59,424 = 59,424/x
  3. Step 3: Cross multiply
    27,216x = 59,424 × 59,424
  4. Step 4: Simplify right side
    27,216x = 3,531,211,776
  5. Step 5: Solve for x
    x = 3,531,211,776/27,216
  6. Step 6: Final answer
    x = 129,747.64

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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.