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Finding the Third Proportional to 19,156 and 29,129

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Solution

The third proportional to 19,156 and 29,129 is: 44,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,156 : 29,129 = 29,129 : x
  2. Step 2: Convert to fraction form
    19,156/29,129 = 29,129/x
  3. Step 3: Cross multiply
    19,156x = 29,129 × 29,129
  4. Step 4: Simplify right side
    19,156x = 848,498,641
  5. Step 5: Solve for x
    x = 848,498,641/19,156
  6. Step 6: Final answer
    x = 44,294.14

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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.