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Finding the Third Proportional to 9,593.75 and 14,337.95

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Solution

The third proportional to 9,593.75 and 14,337.95 is: 21,428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.75 : 14,337.95 = 14,337.95 : x
  2. Step 2: Convert to fraction form
    9,593.75/14,337.95 = 14,337.95/x
  3. Step 3: Cross multiply
    9,593.75x = 14,337.95 × 14,337.95
  4. Step 4: Simplify right side
    9,593.75x = 205,576,787.80
  5. Step 5: Solve for x
    x = 205,576,787.80/9,593.75
  6. Step 6: Final answer
    x = 21,428.19

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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.