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Finding the Third Proportional to 1,108.03 and 1,503.84

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Solution

The third proportional to 1,108.03 and 1,503.84 is: 2,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.03 : 1,503.84 = 1,503.84 : x
  2. Step 2: Convert to fraction form
    1,108.03/1,503.84 = 1,503.84/x
  3. Step 3: Cross multiply
    1,108.03x = 1,503.84 × 1,503.84
  4. Step 4: Simplify right side
    1,108.03x = 2,261,546.02
  5. Step 5: Solve for x
    x = 2,261,546.02/1,108.03
  6. Step 6: Final answer
    x = 2,041.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.