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Finding the Third Proportional to 23,034.38 and 49,349.25

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Solution

The third proportional to 23,034.38 and 49,349.25 is: 105,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,034.38 : 49,349.25 = 49,349.25 : x
  2. Step 2: Convert to fraction form
    23,034.38/49,349.25 = 49,349.25/x
  3. Step 3: Cross multiply
    23,034.38x = 49,349.25 × 49,349.25
  4. Step 4: Simplify right side
    23,034.38x = 2,435,348,475.56
  5. Step 5: Solve for x
    x = 2,435,348,475.56/23,034.38
  6. Step 6: Final answer
    x = 105,726.70

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