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Finding the Third Proportional to 10,123.42 and 24,334.65

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Solution

The third proportional to 10,123.42 and 24,334.65 is: 58,495.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.42 : 24,334.65 = 24,334.65 : x
  2. Step 2: Convert to fraction form
    10,123.42/24,334.65 = 24,334.65/x
  3. Step 3: Cross multiply
    10,123.42x = 24,334.65 × 24,334.65
  4. Step 4: Simplify right side
    10,123.42x = 592,175,019.52
  5. Step 5: Solve for x
    x = 592,175,019.52/10,123.42
  6. Step 6: Final answer
    x = 58,495.56

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.