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Finding the Third Proportional to 31,008 and 49,280

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Solution

The third proportional to 31,008 and 49,280 is: 78,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,008 : 49,280 = 49,280 : x
  2. Step 2: Convert to fraction form
    31,008/49,280 = 49,280/x
  3. Step 3: Cross multiply
    31,008x = 49,280 × 49,280
  4. Step 4: Simplify right side
    31,008x = 2,428,518,400
  5. Step 5: Solve for x
    x = 2,428,518,400/31,008
  6. Step 6: Final answer
    x = 78,319.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.