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Finding the Third Proportional to 27,554 and 59,776

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Solution

The third proportional to 27,554 and 59,776 is: 129,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,554 : 59,776 = 59,776 : x
  2. Step 2: Convert to fraction form
    27,554/59,776 = 59,776/x
  3. Step 3: Cross multiply
    27,554x = 59,776 × 59,776
  4. Step 4: Simplify right side
    27,554x = 3,573,170,176
  5. Step 5: Solve for x
    x = 3,573,170,176/27,554
  6. Step 6: Final answer
    x = 129,678.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.