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Finding the Third Proportional to 4,146 and 9,759

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Solution

The third proportional to 4,146 and 9,759 is: 22,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146 : 9,759 = 9,759 : x
  2. Step 2: Convert to fraction form
    4,146/9,759 = 9,759/x
  3. Step 3: Cross multiply
    4,146x = 9,759 × 9,759
  4. Step 4: Simplify right side
    4,146x = 95,238,081
  5. Step 5: Solve for x
    x = 95,238,081/4,146
  6. Step 6: Final answer
    x = 22,971.08

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.