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Finding the Third Proportional to 4,044 and 7,422

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Solution

The third proportional to 4,044 and 7,422 is: 13,621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,044 : 7,422 = 7,422 : x
  2. Step 2: Convert to fraction form
    4,044/7,422 = 7,422/x
  3. Step 3: Cross multiply
    4,044x = 7,422 × 7,422
  4. Step 4: Simplify right side
    4,044x = 55,086,084
  5. Step 5: Solve for x
    x = 55,086,084/4,044
  6. Step 6: Final answer
    x = 13,621.68

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.