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Finding the Third Proportional to 40,233.38 and 63,693.84

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Solution

The third proportional to 40,233.38 and 63,693.84 is: 100,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,233.38 : 63,693.84 = 63,693.84 : x
  2. Step 2: Convert to fraction form
    40,233.38/63,693.84 = 63,693.84/x
  3. Step 3: Cross multiply
    40,233.38x = 63,693.84 × 63,693.84
  4. Step 4: Simplify right side
    40,233.38x = 4,056,905,731.65
  5. Step 5: Solve for x
    x = 4,056,905,731.65/40,233.38
  6. Step 6: Final answer
    x = 100,834.34

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.