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Finding the Third Proportional to 2,417.77 and 3,262.15

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Solution

The third proportional to 2,417.77 and 3,262.15 is: 4,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.77 : 3,262.15 = 3,262.15 : x
  2. Step 2: Convert to fraction form
    2,417.77/3,262.15 = 3,262.15/x
  3. Step 3: Cross multiply
    2,417.77x = 3,262.15 × 3,262.15
  4. Step 4: Simplify right side
    2,417.77x = 10,641,612.43
  5. Step 5: Solve for x
    x = 10,641,612.43/2,417.77
  6. Step 6: Final answer
    x = 4,401.42

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.