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Finding the Third Proportional to 31,808.06 and 49,276.50

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Solution

The third proportional to 31,808.06 and 49,276.50 is: 76,338.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.06 : 49,276.50 = 49,276.50 : x
  2. Step 2: Convert to fraction form
    31,808.06/49,276.50 = 49,276.50/x
  3. Step 3: Cross multiply
    31,808.06x = 49,276.50 × 49,276.50
  4. Step 4: Simplify right side
    31,808.06x = 2,428,173,452.25
  5. Step 5: Solve for x
    x = 2,428,173,452.25/31,808.06
  6. Step 6: Final answer
    x = 76,338.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.