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Finding the Third Proportional to 1,573.13 and 2,433.38

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Solution

The third proportional to 1,573.13 and 2,433.38 is: 3,764.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.13 : 2,433.38 = 2,433.38 : x
  2. Step 2: Convert to fraction form
    1,573.13/2,433.38 = 2,433.38/x
  3. Step 3: Cross multiply
    1,573.13x = 2,433.38 × 2,433.38
  4. Step 4: Simplify right side
    1,573.13x = 5,921,313.89
  5. Step 5: Solve for x
    x = 5,921,313.89/1,573.13
  6. Step 6: Final answer
    x = 3,764.05

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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.