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Finding the Third Proportional to 4,117.25 and 9,715.25

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Solution

The third proportional to 4,117.25 and 9,715.25 is: 22,924.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.25 : 9,715.25 = 9,715.25 : x
  2. Step 2: Convert to fraction form
    4,117.25/9,715.25 = 9,715.25/x
  3. Step 3: Cross multiply
    4,117.25x = 9,715.25 × 9,715.25
  4. Step 4: Simplify right side
    4,117.25x = 94,386,082.56
  5. Step 5: Solve for x
    x = 94,386,082.56/4,117.25
  6. Step 6: Final answer
    x = 22,924.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.