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Finding the Third Proportional to 6,707.81 and 7,641.84

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Solution

The third proportional to 6,707.81 and 7,641.84 is: 8,705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.81 : 7,641.84 = 7,641.84 : x
  2. Step 2: Convert to fraction form
    6,707.81/7,641.84 = 7,641.84/x
  3. Step 3: Cross multiply
    6,707.81x = 7,641.84 × 7,641.84
  4. Step 4: Simplify right side
    6,707.81x = 58,397,775.90
  5. Step 5: Solve for x
    x = 58,397,775.90/6,707.81
  6. Step 6: Final answer
    x = 8,705.93

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.