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Finding the Third Proportional to 23,743.76 and 49,486.57

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Solution

The third proportional to 23,743.76 and 49,486.57 is: 103,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,743.76 : 49,486.57 = 49,486.57 : x
  2. Step 2: Convert to fraction form
    23,743.76/49,486.57 = 49,486.57/x
  3. Step 3: Cross multiply
    23,743.76x = 49,486.57 × 49,486.57
  4. Step 4: Simplify right side
    23,743.76x = 2,448,920,641.29
  5. Step 5: Solve for x
    x = 2,448,920,641.29/23,743.76
  6. Step 6: Final answer
    x = 103,139.56

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.