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Finding the Third Proportional to 40,432 and 56,146

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Solution

The third proportional to 40,432 and 56,146 is: 77,967.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,432 : 56,146 = 56,146 : x
  2. Step 2: Convert to fraction form
    40,432/56,146 = 56,146/x
  3. Step 3: Cross multiply
    40,432x = 56,146 × 56,146
  4. Step 4: Simplify right side
    40,432x = 3,152,373,316
  5. Step 5: Solve for x
    x = 3,152,373,316/40,432
  6. Step 6: Final answer
    x = 77,967.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.