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Finding the Third Proportional to 5,296.64 and 8,013.30

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Solution

The third proportional to 5,296.64 and 8,013.30 is: 12,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.64 : 8,013.30 = 8,013.30 : x
  2. Step 2: Convert to fraction form
    5,296.64/8,013.30 = 8,013.30/x
  3. Step 3: Cross multiply
    5,296.64x = 8,013.30 × 8,013.30
  4. Step 4: Simplify right side
    5,296.64x = 64,213,052.01
  5. Step 5: Solve for x
    x = 64,213,052.01/5,296.64
  6. Step 6: Final answer
    x = 12,123.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.