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Finding the Third Proportional to 34,026.75 and 48,340.13

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Solution

The third proportional to 34,026.75 and 48,340.13 is: 68,674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,026.75 : 48,340.13 = 48,340.13 : x
  2. Step 2: Convert to fraction form
    34,026.75/48,340.13 = 48,340.13/x
  3. Step 3: Cross multiply
    34,026.75x = 48,340.13 × 48,340.13
  4. Step 4: Simplify right side
    34,026.75x = 2,336,767,685.02
  5. Step 5: Solve for x
    x = 2,336,767,685.02/34,026.75
  6. Step 6: Final answer
    x = 68,674.43

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.