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Finding the Third Proportional to 31,368 and 49,200

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Solution

The third proportional to 31,368 and 49,200 is: 77,169.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,368 : 49,200 = 49,200 : x
  2. Step 2: Convert to fraction form
    31,368/49,200 = 49,200/x
  3. Step 3: Cross multiply
    31,368x = 49,200 × 49,200
  4. Step 4: Simplify right side
    31,368x = 2,420,640,000
  5. Step 5: Solve for x
    x = 2,420,640,000/31,368
  6. Step 6: Final answer
    x = 77,169.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.