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Finding the Third Proportional to 23,230.13 and 38,397.38

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Solution

The third proportional to 23,230.13 and 38,397.38 is: 63,467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,230.13 : 38,397.38 = 38,397.38 : x
  2. Step 2: Convert to fraction form
    23,230.13/38,397.38 = 38,397.38/x
  3. Step 3: Cross multiply
    23,230.13x = 38,397.38 × 38,397.38
  4. Step 4: Simplify right side
    23,230.13x = 1,474,358,406.89
  5. Step 5: Solve for x
    x = 1,474,358,406.89/23,230.13
  6. Step 6: Final answer
    x = 63,467.52

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.