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Finding the Third Proportional to 3,590.88 and 5,364.72

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Solution

The third proportional to 3,590.88 and 5,364.72 is: 8,014.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.88 : 5,364.72 = 5,364.72 : x
  2. Step 2: Convert to fraction form
    3,590.88/5,364.72 = 5,364.72/x
  3. Step 3: Cross multiply
    3,590.88x = 5,364.72 × 5,364.72
  4. Step 4: Simplify right side
    3,590.88x = 28,780,207.27
  5. Step 5: Solve for x
    x = 28,780,207.27/3,590.88
  6. Step 6: Final answer
    x = 8,014.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.