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Finding the Third Proportional to 652.11 and 1,569.41

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Solution

The third proportional to 652.11 and 1,569.41 is: 3,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.11 : 1,569.41 = 1,569.41 : x
  2. Step 2: Convert to fraction form
    652.11/1,569.41 = 1,569.41/x
  3. Step 3: Cross multiply
    652.11x = 1,569.41 × 1,569.41
  4. Step 4: Simplify right side
    652.11x = 2,463,062.03
  5. Step 5: Solve for x
    x = 2,463,062.03/652.11
  6. Step 6: Final answer
    x = 3,777.05

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.