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Finding the Third Proportional to 48,586.50 and 71,489

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Solution

The third proportional to 48,586.50 and 71,489 is: 105,187.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,586.50 : 71,489 = 71,489 : x
  2. Step 2: Convert to fraction form
    48,586.50/71,489 = 71,489/x
  3. Step 3: Cross multiply
    48,586.50x = 71,489 × 71,489
  4. Step 4: Simplify right side
    48,586.50x = 5,110,677,121
  5. Step 5: Solve for x
    x = 5,110,677,121/48,586.50
  6. Step 6: Final answer
    x = 105,187.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.