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Finding the Third Proportional to 24,158.25 and 46,433.25

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Solution

The third proportional to 24,158.25 and 46,433.25 is: 89,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,158.25 : 46,433.25 = 46,433.25 : x
  2. Step 2: Convert to fraction form
    24,158.25/46,433.25 = 46,433.25/x
  3. Step 3: Cross multiply
    24,158.25x = 46,433.25 × 46,433.25
  4. Step 4: Simplify right side
    24,158.25x = 2,156,046,705.56
  5. Step 5: Solve for x
    x = 2,156,046,705.56/24,158.25
  6. Step 6: Final answer
    x = 89,246.81

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.