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Finding the Third Proportional to 31,310.50 and 63,715

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Solution

The third proportional to 31,310.50 and 63,715 is: 129,656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,310.50 : 63,715 = 63,715 : x
  2. Step 2: Convert to fraction form
    31,310.50/63,715 = 63,715/x
  3. Step 3: Cross multiply
    31,310.50x = 63,715 × 63,715
  4. Step 4: Simplify right side
    31,310.50x = 4,059,601,225
  5. Step 5: Solve for x
    x = 4,059,601,225/31,310.50
  6. Step 6: Final answer
    x = 129,656.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.