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Finding the Third Proportional to 13,385.25 and 29,241

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Solution

The third proportional to 13,385.25 and 29,241 is: 63,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.25 : 29,241 = 29,241 : x
  2. Step 2: Convert to fraction form
    13,385.25/29,241 = 29,241/x
  3. Step 3: Cross multiply
    13,385.25x = 29,241 × 29,241
  4. Step 4: Simplify right side
    13,385.25x = 855,036,081
  5. Step 5: Solve for x
    x = 855,036,081/13,385.25
  6. Step 6: Final answer
    x = 63,878.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.