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Finding the Third Proportional to 9,575.72 and 14,305.78

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Solution

The third proportional to 9,575.72 and 14,305.78 is: 21,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.72 : 14,305.78 = 14,305.78 : x
  2. Step 2: Convert to fraction form
    9,575.72/14,305.78 = 14,305.78/x
  3. Step 3: Cross multiply
    9,575.72x = 14,305.78 × 14,305.78
  4. Step 4: Simplify right side
    9,575.72x = 204,655,377.17
  5. Step 5: Solve for x
    x = 204,655,377.17/9,575.72
  6. Step 6: Final answer
    x = 21,372.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.