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Finding the Third Proportional to 1,060.59 and 2,228.77

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Solution

The third proportional to 1,060.59 and 2,228.77 is: 4,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.59 : 2,228.77 = 2,228.77 : x
  2. Step 2: Convert to fraction form
    1,060.59/2,228.77 = 2,228.77/x
  3. Step 3: Cross multiply
    1,060.59x = 2,228.77 × 2,228.77
  4. Step 4: Simplify right side
    1,060.59x = 4,967,396.21
  5. Step 5: Solve for x
    x = 4,967,396.21/1,060.59
  6. Step 6: Final answer
    x = 4,683.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.