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Finding the Third Proportional to 1,501.03 and 2,003.48

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Solution

The third proportional to 1,501.03 and 2,003.48 is: 2,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.03 : 2,003.48 = 2,003.48 : x
  2. Step 2: Convert to fraction form
    1,501.03/2,003.48 = 2,003.48/x
  3. Step 3: Cross multiply
    1,501.03x = 2,003.48 × 2,003.48
  4. Step 4: Simplify right side
    1,501.03x = 4,013,949.64
  5. Step 5: Solve for x
    x = 4,013,949.64/1,501.03
  6. Step 6: Final answer
    x = 2,674.13

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.