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Finding the Third Proportional to 6,316.13 and 9,908.81

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Solution

The third proportional to 6,316.13 and 9,908.81 is: 15,545.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.13 : 9,908.81 = 9,908.81 : x
  2. Step 2: Convert to fraction form
    6,316.13/9,908.81 = 9,908.81/x
  3. Step 3: Cross multiply
    6,316.13x = 9,908.81 × 9,908.81
  4. Step 4: Simplify right side
    6,316.13x = 98,184,565.16
  5. Step 5: Solve for x
    x = 98,184,565.16/6,316.13
  6. Step 6: Final answer
    x = 15,545.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.