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Finding the Third Proportional to 7,595.25 and 11,494.13

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Solution

The third proportional to 7,595.25 and 11,494.13 is: 17,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,595.25 : 11,494.13 = 11,494.13 : x
  2. Step 2: Convert to fraction form
    7,595.25/11,494.13 = 11,494.13/x
  3. Step 3: Cross multiply
    7,595.25x = 11,494.13 × 11,494.13
  4. Step 4: Simplify right side
    7,595.25x = 132,114,909.52
  5. Step 5: Solve for x
    x = 132,114,909.52/7,595.25
  6. Step 6: Final answer
    x = 17,394.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.