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Finding the Third Proportional to 901.88 and 2,275.13

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Solution

The third proportional to 901.88 and 2,275.13 is: 5,739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.88 : 2,275.13 = 2,275.13 : x
  2. Step 2: Convert to fraction form
    901.88/2,275.13 = 2,275.13/x
  3. Step 3: Cross multiply
    901.88x = 2,275.13 × 2,275.13
  4. Step 4: Simplify right side
    901.88x = 5,176,193.77
  5. Step 5: Solve for x
    x = 5,176,193.77/901.88
  6. Step 6: Final answer
    x = 5,739.37

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Why These Related Problems?

These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.