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Finding the Third Proportional to 2,237.25 and 3,670.88

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Solution

The third proportional to 2,237.25 and 3,670.88 is: 6,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.25 : 3,670.88 = 3,670.88 : x
  2. Step 2: Convert to fraction form
    2,237.25/3,670.88 = 3,670.88/x
  3. Step 3: Cross multiply
    2,237.25x = 3,670.88 × 3,670.88
  4. Step 4: Simplify right side
    2,237.25x = 13,475,323.27
  5. Step 5: Solve for x
    x = 13,475,323.27/2,237.25
  6. Step 6: Final answer
    x = 6,023.16

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.