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Finding the Third Proportional to 22,966.13 and 34,449.38

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Solution

The third proportional to 22,966.13 and 34,449.38 is: 51,674.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966.13 : 34,449.38 = 34,449.38 : x
  2. Step 2: Convert to fraction form
    22,966.13/34,449.38 = 34,449.38/x
  3. Step 3: Cross multiply
    22,966.13x = 34,449.38 × 34,449.38
  4. Step 4: Simplify right side
    22,966.13x = 1,186,759,437.89
  5. Step 5: Solve for x
    x = 1,186,759,437.89/22,966.13
  6. Step 6: Final answer
    x = 51,674.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.