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Finding the Third Proportional to 2,135.06 and 3,151.88

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Solution

The third proportional to 2,135.06 and 3,151.88 is: 4,652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.06 : 3,151.88 = 3,151.88 : x
  2. Step 2: Convert to fraction form
    2,135.06/3,151.88 = 3,151.88/x
  3. Step 3: Cross multiply
    2,135.06x = 3,151.88 × 3,151.88
  4. Step 4: Simplify right side
    2,135.06x = 9,934,316.02
  5. Step 5: Solve for x
    x = 9,934,316.02/2,135.06
  6. Step 6: Final answer
    x = 4,652.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.