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Finding the Third Proportional to 32,040 and 49,792

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Solution

The third proportional to 32,040 and 49,792 is: 77,379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,040 : 49,792 = 49,792 : x
  2. Step 2: Convert to fraction form
    32,040/49,792 = 49,792/x
  3. Step 3: Cross multiply
    32,040x = 49,792 × 49,792
  4. Step 4: Simplify right side
    32,040x = 2,479,243,264
  5. Step 5: Solve for x
    x = 2,479,243,264/32,040
  6. Step 6: Final answer
    x = 77,379.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.