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Finding the Third Proportional to 34,463.81 and 72,433.13

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Solution

The third proportional to 34,463.81 and 72,433.13 is: 152,233.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,463.81 : 72,433.13 = 72,433.13 : x
  2. Step 2: Convert to fraction form
    34,463.81/72,433.13 = 72,433.13/x
  3. Step 3: Cross multiply
    34,463.81x = 72,433.13 × 72,433.13
  4. Step 4: Simplify right side
    34,463.81x = 5,246,557,597.27
  5. Step 5: Solve for x
    x = 5,246,557,597.27/34,463.81
  6. Step 6: Final answer
    x = 152,233.81

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.