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Finding the Third Proportional to 6,530 and 11,528

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Solution

The third proportional to 6,530 and 11,528 is: 20,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530 : 11,528 = 11,528 : x
  2. Step 2: Convert to fraction form
    6,530/11,528 = 11,528/x
  3. Step 3: Cross multiply
    6,530x = 11,528 × 11,528
  4. Step 4: Simplify right side
    6,530x = 132,894,784
  5. Step 5: Solve for x
    x = 132,894,784/6,530
  6. Step 6: Final answer
    x = 20,351.42

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.