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Finding the Third Proportional to 1,606.08 and 2,402.47

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Solution

The third proportional to 1,606.08 and 2,402.47 is: 3,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.08 : 2,402.47 = 2,402.47 : x
  2. Step 2: Convert to fraction form
    1,606.08/2,402.47 = 2,402.47/x
  3. Step 3: Cross multiply
    1,606.08x = 2,402.47 × 2,402.47
  4. Step 4: Simplify right side
    1,606.08x = 5,771,874.86
  5. Step 5: Solve for x
    x = 5,771,874.86/1,606.08
  6. Step 6: Final answer
    x = 3,593.77

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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.