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Finding the Third Proportional to 10,688.94 and 24,743.88

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Solution

The third proportional to 10,688.94 and 24,743.88 is: 57,279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.94 : 24,743.88 = 24,743.88 : x
  2. Step 2: Convert to fraction form
    10,688.94/24,743.88 = 24,743.88/x
  3. Step 3: Cross multiply
    10,688.94x = 24,743.88 × 24,743.88
  4. Step 4: Simplify right side
    10,688.94x = 612,259,350.02
  5. Step 5: Solve for x
    x = 612,259,350.02/10,688.94
  6. Step 6: Final answer
    x = 57,279.72

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.