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Finding the Third Proportional to 6,534 and 7,560

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Solution

The third proportional to 6,534 and 7,560 is: 8,747.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534 : 7,560 = 7,560 : x
  2. Step 2: Convert to fraction form
    6,534/7,560 = 7,560/x
  3. Step 3: Cross multiply
    6,534x = 7,560 × 7,560
  4. Step 4: Simplify right side
    6,534x = 57,153,600
  5. Step 5: Solve for x
    x = 57,153,600/6,534
  6. Step 6: Final answer
    x = 8,747.11

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.