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Finding the Third Proportional to 1,029.59 and 2,211.05

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Solution

The third proportional to 1,029.59 and 2,211.05 is: 4,748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.59 : 2,211.05 = 2,211.05 : x
  2. Step 2: Convert to fraction form
    1,029.59/2,211.05 = 2,211.05/x
  3. Step 3: Cross multiply
    1,029.59x = 2,211.05 × 2,211.05
  4. Step 4: Simplify right side
    1,029.59x = 4,888,728.28
  5. Step 5: Solve for x
    x = 4,888,728.28/1,029.59
  6. Step 6: Final answer
    x = 4,748.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.