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Finding the Third Proportional to 48,374.46 and 71,139.80

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Solution

The third proportional to 48,374.46 and 71,139.80 is: 104,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,374.46 : 71,139.80 = 71,139.80 : x
  2. Step 2: Convert to fraction form
    48,374.46/71,139.80 = 71,139.80/x
  3. Step 3: Cross multiply
    48,374.46x = 71,139.80 × 71,139.80
  4. Step 4: Simplify right side
    48,374.46x = 5,060,870,699.42
  5. Step 5: Solve for x
    x = 5,060,870,699.42/48,374.46
  6. Step 6: Final answer
    x = 104,618.65

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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.