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Finding the Third Proportional to 23,708 and 52,188.50

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Solution

The third proportional to 23,708 and 52,188.50 is: 114,882.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,708 : 52,188.50 = 52,188.50 : x
  2. Step 2: Convert to fraction form
    23,708/52,188.50 = 52,188.50/x
  3. Step 3: Cross multiply
    23,708x = 52,188.50 × 52,188.50
  4. Step 4: Simplify right side
    23,708x = 2,723,639,532.25
  5. Step 5: Solve for x
    x = 2,723,639,532.25/23,708
  6. Step 6: Final answer
    x = 114,882.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.