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Finding the Third Proportional to 4,145 and 9,061

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Solution

The third proportional to 4,145 and 9,061 is: 19,807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145 : 9,061 = 9,061 : x
  2. Step 2: Convert to fraction form
    4,145/9,061 = 9,061/x
  3. Step 3: Cross multiply
    4,145x = 9,061 × 9,061
  4. Step 4: Simplify right side
    4,145x = 82,101,721
  5. Step 5: Solve for x
    x = 82,101,721/4,145
  6. Step 6: Final answer
    x = 19,807.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.