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Finding the Third Proportional to 1,001.95 and 2,033.02

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Solution

The third proportional to 1,001.95 and 2,033.02 is: 4,125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.95 : 2,033.02 = 2,033.02 : x
  2. Step 2: Convert to fraction form
    1,001.95/2,033.02 = 2,033.02/x
  3. Step 3: Cross multiply
    1,001.95x = 2,033.02 × 2,033.02
  4. Step 4: Simplify right side
    1,001.95x = 4,133,152.53
  5. Step 5: Solve for x
    x = 4,133,152.53/1,001.95
  6. Step 6: Final answer
    x = 4,125.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.