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Finding the Third Proportional to 48,776 and 66,250

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Solution

The third proportional to 48,776 and 66,250 is: 89,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,776 : 66,250 = 66,250 : x
  2. Step 2: Convert to fraction form
    48,776/66,250 = 66,250/x
  3. Step 3: Cross multiply
    48,776x = 66,250 × 66,250
  4. Step 4: Simplify right side
    48,776x = 4,389,062,500
  5. Step 5: Solve for x
    x = 4,389,062,500/48,776
  6. Step 6: Final answer
    x = 89,984.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.