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Finding the Third Proportional to 8,606.25 and 11,342.53

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Solution

The third proportional to 8,606.25 and 11,342.53 is: 14,948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,606.25 : 11,342.53 = 11,342.53 : x
  2. Step 2: Convert to fraction form
    8,606.25/11,342.53 = 11,342.53/x
  3. Step 3: Cross multiply
    8,606.25x = 11,342.53 × 11,342.53
  4. Step 4: Simplify right side
    8,606.25x = 128,653,015.16
  5. Step 5: Solve for x
    x = 128,653,015.16/8,606.25
  6. Step 6: Final answer
    x = 14,948.79

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.