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Finding the Third Proportional to 1,577.13 and 2,370.20

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Solution

The third proportional to 1,577.13 and 2,370.20 is: 3,562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.13 : 2,370.20 = 2,370.20 : x
  2. Step 2: Convert to fraction form
    1,577.13/2,370.20 = 2,370.20/x
  3. Step 3: Cross multiply
    1,577.13x = 2,370.20 × 2,370.20
  4. Step 4: Simplify right side
    1,577.13x = 5,617,844.34
  5. Step 5: Solve for x
    x = 5,617,844.34/1,577.13
  6. Step 6: Final answer
    x = 3,562.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.