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Finding the Third Proportional to 24,123.75 and 52,373.25

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Solution

The third proportional to 24,123.75 and 52,373.25 is: 113,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,123.75 : 52,373.25 = 52,373.25 : x
  2. Step 2: Convert to fraction form
    24,123.75/52,373.25 = 52,373.25/x
  3. Step 3: Cross multiply
    24,123.75x = 52,373.25 × 52,373.25
  4. Step 4: Simplify right side
    24,123.75x = 2,742,957,315.56
  5. Step 5: Solve for x
    x = 2,742,957,315.56/24,123.75
  6. Step 6: Final answer
    x = 113,703.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.