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Finding the Third Proportional to 48,277.27 and 63,833.06

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Solution

The third proportional to 48,277.27 and 63,833.06 is: 84,401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,277.27 : 63,833.06 = 63,833.06 : x
  2. Step 2: Convert to fraction form
    48,277.27/63,833.06 = 63,833.06/x
  3. Step 3: Cross multiply
    48,277.27x = 63,833.06 × 63,833.06
  4. Step 4: Simplify right side
    48,277.27x = 4,074,659,868.13
  5. Step 5: Solve for x
    x = 4,074,659,868.13/48,277.27
  6. Step 6: Final answer
    x = 84,401.21

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.