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Finding the Third Proportional to 6,530 and 15,402

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Solution

The third proportional to 6,530 and 15,402 is: 36,327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530 : 15,402 = 15,402 : x
  2. Step 2: Convert to fraction form
    6,530/15,402 = 15,402/x
  3. Step 3: Cross multiply
    6,530x = 15,402 × 15,402
  4. Step 4: Simplify right side
    6,530x = 237,221,604
  5. Step 5: Solve for x
    x = 237,221,604/6,530
  6. Step 6: Final answer
    x = 36,327.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.