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Finding the Third Proportional to 4,191 and 9,060

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Solution

The third proportional to 4,191 and 9,060 is: 19,585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191 : 9,060 = 9,060 : x
  2. Step 2: Convert to fraction form
    4,191/9,060 = 9,060/x
  3. Step 3: Cross multiply
    4,191x = 9,060 × 9,060
  4. Step 4: Simplify right side
    4,191x = 82,083,600
  5. Step 5: Solve for x
    x = 82,083,600/4,191
  6. Step 6: Final answer
    x = 19,585.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.