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Finding the Third Proportional to 5,296.64 and 7,065.04

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Solution

The third proportional to 5,296.64 and 7,065.04 is: 9,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.64 : 7,065.04 = 7,065.04 : x
  2. Step 2: Convert to fraction form
    5,296.64/7,065.04 = 7,065.04/x
  3. Step 3: Cross multiply
    5,296.64x = 7,065.04 × 7,065.04
  4. Step 4: Simplify right side
    5,296.64x = 49,914,721.76
  5. Step 5: Solve for x
    x = 49,914,721.76/5,296.64
  6. Step 6: Final answer
    x = 9,423.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.