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Finding the Third Proportional to 11,693.53 and 25,660.13

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Solution

The third proportional to 11,693.53 and 25,660.13 is: 56,308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.53 : 25,660.13 = 25,660.13 : x
  2. Step 2: Convert to fraction form
    11,693.53/25,660.13 = 25,660.13/x
  3. Step 3: Cross multiply
    11,693.53x = 25,660.13 × 25,660.13
  4. Step 4: Simplify right side
    11,693.53x = 658,442,015.02
  5. Step 5: Solve for x
    x = 658,442,015.02/11,693.53
  6. Step 6: Final answer
    x = 56,308.23

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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.