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Finding the Third Proportional to 4,371.86 and 6,590.90

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Solution

The third proportional to 4,371.86 and 6,590.90 is: 9,936.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,371.86 : 6,590.90 = 6,590.90 : x
  2. Step 2: Convert to fraction form
    4,371.86/6,590.90 = 6,590.90/x
  3. Step 3: Cross multiply
    4,371.86x = 6,590.90 × 6,590.90
  4. Step 4: Simplify right side
    4,371.86x = 43,439,967.96
  5. Step 5: Solve for x
    x = 43,439,967.96/4,371.86
  6. Step 6: Final answer
    x = 9,936.26

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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.