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Finding the Third Proportional to 1,373.02 and 2,127.80

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Solution

The third proportional to 1,373.02 and 2,127.80 is: 3,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.02 : 2,127.80 = 2,127.80 : x
  2. Step 2: Convert to fraction form
    1,373.02/2,127.80 = 2,127.80/x
  3. Step 3: Cross multiply
    1,373.02x = 2,127.80 × 2,127.80
  4. Step 4: Simplify right side
    1,373.02x = 4,527,519.54
  5. Step 5: Solve for x
    x = 4,527,519.54/1,373.02
  6. Step 6: Final answer
    x = 3,297.50

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