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Finding the Third Proportional to 7,702.50 and 15,687

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Solution

The third proportional to 7,702.50 and 15,687 is: 31,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.50 : 15,687 = 15,687 : x
  2. Step 2: Convert to fraction form
    7,702.50/15,687 = 15,687/x
  3. Step 3: Cross multiply
    7,702.50x = 15,687 × 15,687
  4. Step 4: Simplify right side
    7,702.50x = 246,081,969
  5. Step 5: Solve for x
    x = 246,081,969/7,702.50
  6. Step 6: Final answer
    x = 31,948.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.