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Finding the Third Proportional to 13,523 and 29,127

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Solution

The third proportional to 13,523 and 29,127 is: 62,736.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523 : 29,127 = 29,127 : x
  2. Step 2: Convert to fraction form
    13,523/29,127 = 29,127/x
  3. Step 3: Cross multiply
    13,523x = 29,127 × 29,127
  4. Step 4: Simplify right side
    13,523x = 848,382,129
  5. Step 5: Solve for x
    x = 848,382,129/13,523
  6. Step 6: Final answer
    x = 62,736.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.