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Finding the Third Proportional to 1,552.92 and 3,669.68

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Solution

The third proportional to 1,552.92 and 3,669.68 is: 8,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.92 : 3,669.68 = 3,669.68 : x
  2. Step 2: Convert to fraction form
    1,552.92/3,669.68 = 3,669.68/x
  3. Step 3: Cross multiply
    1,552.92x = 3,669.68 × 3,669.68
  4. Step 4: Simplify right side
    1,552.92x = 13,466,549.01
  5. Step 5: Solve for x
    x = 13,466,549.01/1,552.92
  6. Step 6: Final answer
    x = 8,671.75

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.