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Finding the Third Proportional to 31,280 and 67,450

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Solution

The third proportional to 31,280 and 67,450 is: 145,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,280 : 67,450 = 67,450 : x
  2. Step 2: Convert to fraction form
    31,280/67,450 = 67,450/x
  3. Step 3: Cross multiply
    31,280x = 67,450 × 67,450
  4. Step 4: Simplify right side
    31,280x = 4,549,502,500
  5. Step 5: Solve for x
    x = 4,549,502,500/31,280
  6. Step 6: Final answer
    x = 145,444.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.