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Finding the Third Proportional to 29,653 and 54,931

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Solution

The third proportional to 29,653 and 54,931 is: 101,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,653 : 54,931 = 54,931 : x
  2. Step 2: Convert to fraction form
    29,653/54,931 = 54,931/x
  3. Step 3: Cross multiply
    29,653x = 54,931 × 54,931
  4. Step 4: Simplify right side
    29,653x = 3,017,414,761
  5. Step 5: Solve for x
    x = 3,017,414,761/29,653
  6. Step 6: Final answer
    x = 101,757.49

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.