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Finding the Third Proportional to 31,704 and 49,284

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Solution

The third proportional to 31,704 and 49,284 is: 76,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,704 : 49,284 = 49,284 : x
  2. Step 2: Convert to fraction form
    31,704/49,284 = 49,284/x
  3. Step 3: Cross multiply
    31,704x = 49,284 × 49,284
  4. Step 4: Simplify right side
    31,704x = 2,428,912,656
  5. Step 5: Solve for x
    x = 2,428,912,656/31,704
  6. Step 6: Final answer
    x = 76,612.18

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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.