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Finding the Third Proportional to 6,475.57 and 7,364.04

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Solution

The third proportional to 6,475.57 and 7,364.04 is: 8,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.57 : 7,364.04 = 7,364.04 : x
  2. Step 2: Convert to fraction form
    6,475.57/7,364.04 = 7,364.04/x
  3. Step 3: Cross multiply
    6,475.57x = 7,364.04 × 7,364.04
  4. Step 4: Simplify right side
    6,475.57x = 54,229,071.31
  5. Step 5: Solve for x
    x = 54,229,071.31/6,475.57
  6. Step 6: Final answer
    x = 8,374.41

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.