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Finding the Third Proportional to 7,241.48 and 15,867.14

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Solution

The third proportional to 7,241.48 and 15,867.14 is: 34,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.48 : 15,867.14 = 15,867.14 : x
  2. Step 2: Convert to fraction form
    7,241.48/15,867.14 = 15,867.14/x
  3. Step 3: Cross multiply
    7,241.48x = 15,867.14 × 15,867.14
  4. Step 4: Simplify right side
    7,241.48x = 251,766,151.61
  5. Step 5: Solve for x
    x = 251,766,151.61/7,241.48
  6. Step 6: Final answer
    x = 34,767.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.