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Finding the Third Proportional to 6,561 and 15,319.13

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Solution

The third proportional to 6,561 and 15,319.13 is: 35,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561 : 15,319.13 = 15,319.13 : x
  2. Step 2: Convert to fraction form
    6,561/15,319.13 = 15,319.13/x
  3. Step 3: Cross multiply
    6,561x = 15,319.13 × 15,319.13
  4. Step 4: Simplify right side
    6,561x = 234,675,590.77
  5. Step 5: Solve for x
    x = 234,675,590.77/6,561
  6. Step 6: Final answer
    x = 35,768.27

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.