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Finding the Third Proportional to 1,901.25 and 4,177.13

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Solution

The third proportional to 1,901.25 and 4,177.13 is: 9,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.25 : 4,177.13 = 4,177.13 : x
  2. Step 2: Convert to fraction form
    1,901.25/4,177.13 = 4,177.13/x
  3. Step 3: Cross multiply
    1,901.25x = 4,177.13 × 4,177.13
  4. Step 4: Simplify right side
    1,901.25x = 17,448,373.27
  5. Step 5: Solve for x
    x = 17,448,373.27/1,901.25
  6. Step 6: Final answer
    x = 9,177.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.