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Finding the Third Proportional to 5,005.55 and 7,081.17

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Solution

The third proportional to 5,005.55 and 7,081.17 is: 10,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.55 : 7,081.17 = 7,081.17 : x
  2. Step 2: Convert to fraction form
    5,005.55/7,081.17 = 7,081.17/x
  3. Step 3: Cross multiply
    5,005.55x = 7,081.17 × 7,081.17
  4. Step 4: Simplify right side
    5,005.55x = 50,142,995.12
  5. Step 5: Solve for x
    x = 50,142,995.12/5,005.55
  6. Step 6: Final answer
    x = 10,017.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.