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Finding the Third Proportional to 6,546 and 7,522

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Solution

The third proportional to 6,546 and 7,522 is: 8,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546 : 7,522 = 7,522 : x
  2. Step 2: Convert to fraction form
    6,546/7,522 = 7,522/x
  3. Step 3: Cross multiply
    6,546x = 7,522 × 7,522
  4. Step 4: Simplify right side
    6,546x = 56,580,484
  5. Step 5: Solve for x
    x = 56,580,484/6,546
  6. Step 6: Final answer
    x = 8,643.52

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.