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Finding the Third Proportional to 31,317 and 67,560

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Solution

The third proportional to 31,317 and 67,560 is: 145,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,317 : 67,560 = 67,560 : x
  2. Step 2: Convert to fraction form
    31,317/67,560 = 67,560/x
  3. Step 3: Cross multiply
    31,317x = 67,560 × 67,560
  4. Step 4: Simplify right side
    31,317x = 4,564,353,600
  5. Step 5: Solve for x
    x = 4,564,353,600/31,317
  6. Step 6: Final answer
    x = 145,746.83

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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.