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Finding the Third Proportional to 24,532.88 and 52,951.50

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Solution

The third proportional to 24,532.88 and 52,951.50 is: 114,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532.88 : 52,951.50 = 52,951.50 : x
  2. Step 2: Convert to fraction form
    24,532.88/52,951.50 = 52,951.50/x
  3. Step 3: Cross multiply
    24,532.88x = 52,951.50 × 52,951.50
  4. Step 4: Simplify right side
    24,532.88x = 2,803,861,352.25
  5. Step 5: Solve for x
    x = 2,803,861,352.25/24,532.88
  6. Step 6: Final answer
    x = 114,289.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.