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Finding the Third Proportional to 1,329.06 and 2,188.27

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Solution

The third proportional to 1,329.06 and 2,188.27 is: 3,602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.06 : 2,188.27 = 2,188.27 : x
  2. Step 2: Convert to fraction form
    1,329.06/2,188.27 = 2,188.27/x
  3. Step 3: Cross multiply
    1,329.06x = 2,188.27 × 2,188.27
  4. Step 4: Simplify right side
    1,329.06x = 4,788,506.45
  5. Step 5: Solve for x
    x = 4,788,506.45/1,329.06
  6. Step 6: Final answer
    x = 3,602.92

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.