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Finding the Third Proportional to 1,017.56 and 2,300.91

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Solution

The third proportional to 1,017.56 and 2,300.91 is: 5,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.56 : 2,300.91 = 2,300.91 : x
  2. Step 2: Convert to fraction form
    1,017.56/2,300.91 = 2,300.91/x
  3. Step 3: Cross multiply
    1,017.56x = 2,300.91 × 2,300.91
  4. Step 4: Simplify right side
    1,017.56x = 5,294,169.57
  5. Step 5: Solve for x
    x = 5,294,169.57/1,017.56
  6. Step 6: Final answer
    x = 5,202.80

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.