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Finding the Third Proportional to 901.13 and 2,065.50

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Solution

The third proportional to 901.13 and 2,065.50 is: 4,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.13 : 2,065.50 = 2,065.50 : x
  2. Step 2: Convert to fraction form
    901.13/2,065.50 = 2,065.50/x
  3. Step 3: Cross multiply
    901.13x = 2,065.50 × 2,065.50
  4. Step 4: Simplify right side
    901.13x = 4,266,290.25
  5. Step 5: Solve for x
    x = 4,266,290.25/901.13
  6. Step 6: Final answer
    x = 4,734.40

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.