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Finding the Third Proportional to 3,646.27 and 5,590.90

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Solution

The third proportional to 3,646.27 and 5,590.90 is: 8,572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.27 : 5,590.90 = 5,590.90 : x
  2. Step 2: Convert to fraction form
    3,646.27/5,590.90 = 5,590.90/x
  3. Step 3: Cross multiply
    3,646.27x = 5,590.90 × 5,590.90
  4. Step 4: Simplify right side
    3,646.27x = 31,258,145.34
  5. Step 5: Solve for x
    x = 31,258,145.34/3,646.27
  6. Step 6: Final answer
    x = 8,572.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.