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Finding the Third Proportional to 465.12 and 1,001.46

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Solution

The third proportional to 465.12 and 1,001.46 is: 2,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.12 : 1,001.46 = 1,001.46 : x
  2. Step 2: Convert to fraction form
    465.12/1,001.46 = 1,001.46/x
  3. Step 3: Cross multiply
    465.12x = 1,001.46 × 1,001.46
  4. Step 4: Simplify right side
    465.12x = 1,002,924.01
  5. Step 5: Solve for x
    x = 1,002,924.01/465.12
  6. Step 6: Final answer
    x = 2,156.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.