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Finding the Third Proportional to 1,011 and 2,378.25

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Solution

The third proportional to 1,011 and 2,378.25 is: 5,594.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011 : 2,378.25 = 2,378.25 : x
  2. Step 2: Convert to fraction form
    1,011/2,378.25 = 2,378.25/x
  3. Step 3: Cross multiply
    1,011x = 2,378.25 × 2,378.25
  4. Step 4: Simplify right side
    1,011x = 5,656,073.06
  5. Step 5: Solve for x
    x = 5,656,073.06/1,011
  6. Step 6: Final answer
    x = 5,594.53

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.