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Finding the Third Proportional to 23,011.59 and 33,758.65

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Solution

The third proportional to 23,011.59 and 33,758.65 is: 49,524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,011.59 : 33,758.65 = 33,758.65 : x
  2. Step 2: Convert to fraction form
    23,011.59/33,758.65 = 33,758.65/x
  3. Step 3: Cross multiply
    23,011.59x = 33,758.65 × 33,758.65
  4. Step 4: Simplify right side
    23,011.59x = 1,139,646,344.33
  5. Step 5: Solve for x
    x = 1,139,646,344.33/23,011.59
  6. Step 6: Final answer
    x = 49,524.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.