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Finding the Third Proportional to 29,199 and 44,527

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Solution

The third proportional to 29,199 and 44,527 is: 67,901.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,199 : 44,527 = 44,527 : x
  2. Step 2: Convert to fraction form
    29,199/44,527 = 44,527/x
  3. Step 3: Cross multiply
    29,199x = 44,527 × 44,527
  4. Step 4: Simplify right side
    29,199x = 1,982,653,729
  5. Step 5: Solve for x
    x = 1,982,653,729/29,199
  6. Step 6: Final answer
    x = 67,901.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.