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Finding the Third Proportional to 5,756.06 and 7,568.44

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Solution

The third proportional to 5,756.06 and 7,568.44 is: 9,951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.06 : 7,568.44 = 7,568.44 : x
  2. Step 2: Convert to fraction form
    5,756.06/7,568.44 = 7,568.44/x
  3. Step 3: Cross multiply
    5,756.06x = 7,568.44 × 7,568.44
  4. Step 4: Simplify right side
    5,756.06x = 57,281,246.19
  5. Step 5: Solve for x
    x = 57,281,246.19/5,756.06
  6. Step 6: Final answer
    x = 9,951.46

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.