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Finding the Third Proportional to 6,109.17 and 9,837.07

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Solution

The third proportional to 6,109.17 and 9,837.07 is: 15,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.17 : 9,837.07 = 9,837.07 : x
  2. Step 2: Convert to fraction form
    6,109.17/9,837.07 = 9,837.07/x
  3. Step 3: Cross multiply
    6,109.17x = 9,837.07 × 9,837.07
  4. Step 4: Simplify right side
    6,109.17x = 96,767,952.33
  5. Step 5: Solve for x
    x = 96,767,952.33/6,109.17
  6. Step 6: Final answer
    x = 15,839.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.