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Finding the Third Proportional to 24,301.69 and 34,751.53

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Solution

The third proportional to 24,301.69 and 34,751.53 is: 49,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,301.69 : 34,751.53 = 34,751.53 : x
  2. Step 2: Convert to fraction form
    24,301.69/34,751.53 = 34,751.53/x
  3. Step 3: Cross multiply
    24,301.69x = 34,751.53 × 34,751.53
  4. Step 4: Simplify right side
    24,301.69x = 1,207,668,924.22
  5. Step 5: Solve for x
    x = 1,207,668,924.22/24,301.69
  6. Step 6: Final answer
    x = 49,694.86

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.