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Finding the Third Proportional to 5,395.13 and 7,288.88

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Solution

The third proportional to 5,395.13 and 7,288.88 is: 9,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.13 : 7,288.88 = 7,288.88 : x
  2. Step 2: Convert to fraction form
    5,395.13/7,288.88 = 7,288.88/x
  3. Step 3: Cross multiply
    5,395.13x = 7,288.88 × 7,288.88
  4. Step 4: Simplify right side
    5,395.13x = 53,127,698.77
  5. Step 5: Solve for x
    x = 53,127,698.77/5,395.13
  6. Step 6: Final answer
    x = 9,847.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.