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Finding the Third Proportional to 4,045 and 8,822

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Solution

The third proportional to 4,045 and 8,822 is: 19,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,045 : 8,822 = 8,822 : x
  2. Step 2: Convert to fraction form
    4,045/8,822 = 8,822/x
  3. Step 3: Cross multiply
    4,045x = 8,822 × 8,822
  4. Step 4: Simplify right side
    4,045x = 77,827,684
  5. Step 5: Solve for x
    x = 77,827,684/4,045
  6. Step 6: Final answer
    x = 19,240.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.