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Finding the Third Proportional to 48,343.50 and 71,604

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Solution

The third proportional to 48,343.50 and 71,604 is: 106,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,343.50 : 71,604 = 71,604 : x
  2. Step 2: Convert to fraction form
    48,343.50/71,604 = 71,604/x
  3. Step 3: Cross multiply
    48,343.50x = 71,604 × 71,604
  4. Step 4: Simplify right side
    48,343.50x = 5,127,132,816
  5. Step 5: Solve for x
    x = 5,127,132,816/48,343.50
  6. Step 6: Final answer
    x = 106,056.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.