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Finding the Third Proportional to 5,646.38 and 13,330.13

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Solution

The third proportional to 5,646.38 and 13,330.13 is: 31,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.38 : 13,330.13 = 13,330.13 : x
  2. Step 2: Convert to fraction form
    5,646.38/13,330.13 = 13,330.13/x
  3. Step 3: Cross multiply
    5,646.38x = 13,330.13 × 13,330.13
  4. Step 4: Simplify right side
    5,646.38x = 177,692,232.52
  5. Step 5: Solve for x
    x = 177,692,232.52/5,646.38
  6. Step 6: Final answer
    x = 31,470.14

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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.