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Finding the Third Proportional to 1,363.55 and 2,111.77

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Solution

The third proportional to 1,363.55 and 2,111.77 is: 3,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.55 : 2,111.77 = 2,111.77 : x
  2. Step 2: Convert to fraction form
    1,363.55/2,111.77 = 2,111.77/x
  3. Step 3: Cross multiply
    1,363.55x = 2,111.77 × 2,111.77
  4. Step 4: Simplify right side
    1,363.55x = 4,459,591.18
  5. Step 5: Solve for x
    x = 4,459,591.18/1,363.55
  6. Step 6: Final answer
    x = 3,270.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.