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Finding the Third Proportional to 2,000.95 and 3,109.64

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Solution

The third proportional to 2,000.95 and 3,109.64 is: 4,832.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.95 : 3,109.64 = 3,109.64 : x
  2. Step 2: Convert to fraction form
    2,000.95/3,109.64 = 3,109.64/x
  3. Step 3: Cross multiply
    2,000.95x = 3,109.64 × 3,109.64
  4. Step 4: Simplify right side
    2,000.95x = 9,669,864.82
  5. Step 5: Solve for x
    x = 9,669,864.82/2,000.95
  6. Step 6: Final answer
    x = 4,832.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.