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Finding the Third Proportional to 31,068 and 49,410

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Solution

The third proportional to 31,068 and 49,410 is: 78,580.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,068 : 49,410 = 49,410 : x
  2. Step 2: Convert to fraction form
    31,068/49,410 = 49,410/x
  3. Step 3: Cross multiply
    31,068x = 49,410 × 49,410
  4. Step 4: Simplify right side
    31,068x = 2,441,348,100
  5. Step 5: Solve for x
    x = 2,441,348,100/31,068
  6. Step 6: Final answer
    x = 78,580.79

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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.