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Finding the Third Proportional to 35,432 and 54,828

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Solution

The third proportional to 35,432 and 54,828 is: 84,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,432 : 54,828 = 54,828 : x
  2. Step 2: Convert to fraction form
    35,432/54,828 = 54,828/x
  3. Step 3: Cross multiply
    35,432x = 54,828 × 54,828
  4. Step 4: Simplify right side
    35,432x = 3,006,109,584
  5. Step 5: Solve for x
    x = 3,006,109,584/35,432
  6. Step 6: Final answer
    x = 84,841.66

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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.