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Finding the Third Proportional to 24,688.11 and 53,123.38

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Solution

The third proportional to 24,688.11 and 53,123.38 is: 114,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,688.11 : 53,123.38 = 53,123.38 : x
  2. Step 2: Convert to fraction form
    24,688.11/53,123.38 = 53,123.38/x
  3. Step 3: Cross multiply
    24,688.11x = 53,123.38 × 53,123.38
  4. Step 4: Simplify right side
    24,688.11x = 2,822,093,853.32
  5. Step 5: Solve for x
    x = 2,822,093,853.32/24,688.11
  6. Step 6: Final answer
    x = 114,309.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.