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Finding the Third Proportional to 31,472 and 49,368

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Solution

The third proportional to 31,472 and 49,368 is: 77,440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,472 : 49,368 = 49,368 : x
  2. Step 2: Convert to fraction form
    31,472/49,368 = 49,368/x
  3. Step 3: Cross multiply
    31,472x = 49,368 × 49,368
  4. Step 4: Simplify right side
    31,472x = 2,437,199,424
  5. Step 5: Solve for x
    x = 2,437,199,424/31,472
  6. Step 6: Final answer
    x = 77,440.25

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Why These Related Problems?

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