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Finding the Third Proportional to 4,397.16 and 9,409.38

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Solution

The third proportional to 4,397.16 and 9,409.38 is: 20,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397.16 : 9,409.38 = 9,409.38 : x
  2. Step 2: Convert to fraction form
    4,397.16/9,409.38 = 9,409.38/x
  3. Step 3: Cross multiply
    4,397.16x = 9,409.38 × 9,409.38
  4. Step 4: Simplify right side
    4,397.16x = 88,536,484.91
  5. Step 5: Solve for x
    x = 88,536,484.91/4,397.16
  6. Step 6: Final answer
    x = 20,134.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.