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Finding the Third Proportional to 13,488.75 and 29,654.25

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Solution

The third proportional to 13,488.75 and 29,654.25 is: 65,193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.75 : 29,654.25 = 29,654.25 : x
  2. Step 2: Convert to fraction form
    13,488.75/29,654.25 = 29,654.25/x
  3. Step 3: Cross multiply
    13,488.75x = 29,654.25 × 29,654.25
  4. Step 4: Simplify right side
    13,488.75x = 879,374,543.06
  5. Step 5: Solve for x
    x = 879,374,543.06/13,488.75
  6. Step 6: Final answer
    x = 65,193.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.