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Finding the Third Proportional to 5,261.13 and 11,560.13

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Solution

The third proportional to 5,261.13 and 11,560.13 is: 25,400.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.13 : 11,560.13 = 11,560.13 : x
  2. Step 2: Convert to fraction form
    5,261.13/11,560.13 = 11,560.13/x
  3. Step 3: Cross multiply
    5,261.13x = 11,560.13 × 11,560.13
  4. Step 4: Simplify right side
    5,261.13x = 133,636,490.02
  5. Step 5: Solve for x
    x = 133,636,490.02/5,261.13
  6. Step 6: Final answer
    x = 25,400.74

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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.