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Finding the Third Proportional to 12,241.13 and 26,812.27

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Solution

The third proportional to 12,241.13 and 26,812.27 is: 58,728.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.13 : 26,812.27 = 26,812.27 : x
  2. Step 2: Convert to fraction form
    12,241.13/26,812.27 = 26,812.27/x
  3. Step 3: Cross multiply
    12,241.13x = 26,812.27 × 26,812.27
  4. Step 4: Simplify right side
    12,241.13x = 718,897,587.95
  5. Step 5: Solve for x
    x = 718,897,587.95/12,241.13
  6. Step 6: Final answer
    x = 58,728.07

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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.