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Finding the Third Proportional to 5,087.81 and 6,705.28

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Solution

The third proportional to 5,087.81 and 6,705.28 is: 8,836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,087.81 : 6,705.28 = 6,705.28 : x
  2. Step 2: Convert to fraction form
    5,087.81/6,705.28 = 6,705.28/x
  3. Step 3: Cross multiply
    5,087.81x = 6,705.28 × 6,705.28
  4. Step 4: Simplify right side
    5,087.81x = 44,960,796.64
  5. Step 5: Solve for x
    x = 44,960,796.64/5,087.81
  6. Step 6: Final answer
    x = 8,836.96

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.