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Finding the Third Proportional to 7,514 and 9,735

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Solution

The third proportional to 7,514 and 9,735 is: 12,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514 : 9,735 = 9,735 : x
  2. Step 2: Convert to fraction form
    7,514/9,735 = 9,735/x
  3. Step 3: Cross multiply
    7,514x = 9,735 × 9,735
  4. Step 4: Simplify right side
    7,514x = 94,770,225
  5. Step 5: Solve for x
    x = 94,770,225/7,514
  6. Step 6: Final answer
    x = 12,612.49

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.