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Finding the Third Proportional to 11,758.92 and 25,112.53

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Solution

The third proportional to 11,758.92 and 25,112.53 is: 53,630.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.92 : 25,112.53 = 25,112.53 : x
  2. Step 2: Convert to fraction form
    11,758.92/25,112.53 = 25,112.53/x
  3. Step 3: Cross multiply
    11,758.92x = 25,112.53 × 25,112.53
  4. Step 4: Simplify right side
    11,758.92x = 630,639,225.78
  5. Step 5: Solve for x
    x = 630,639,225.78/11,758.92
  6. Step 6: Final answer
    x = 53,630.70

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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.