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Finding the Third Proportional to 4,540 and 7,522

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Solution

The third proportional to 4,540 and 7,522 is: 12,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540 : 7,522 = 7,522 : x
  2. Step 2: Convert to fraction form
    4,540/7,522 = 7,522/x
  3. Step 3: Cross multiply
    4,540x = 7,522 × 7,522
  4. Step 4: Simplify right side
    4,540x = 56,580,484
  5. Step 5: Solve for x
    x = 56,580,484/4,540
  6. Step 6: Final answer
    x = 12,462.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.