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Finding the Third Proportional to 27,766.50 and 60,459

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Solution

The third proportional to 27,766.50 and 60,459 is: 131,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,766.50 : 60,459 = 60,459 : x
  2. Step 2: Convert to fraction form
    27,766.50/60,459 = 60,459/x
  3. Step 3: Cross multiply
    27,766.50x = 60,459 × 60,459
  4. Step 4: Simplify right side
    27,766.50x = 3,655,290,681
  5. Step 5: Solve for x
    x = 3,655,290,681/27,766.50
  6. Step 6: Final answer
    x = 131,643.91

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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.