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Finding the Third Proportional to 45,770 and 67,424

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Solution

The third proportional to 45,770 and 67,424 is: 99,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,770 : 67,424 = 67,424 : x
  2. Step 2: Convert to fraction form
    45,770/67,424 = 67,424/x
  3. Step 3: Cross multiply
    45,770x = 67,424 × 67,424
  4. Step 4: Simplify right side
    45,770x = 4,545,995,776
  5. Step 5: Solve for x
    x = 4,545,995,776/45,770
  6. Step 6: Final answer
    x = 99,322.61

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