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Finding the Third Proportional to 2,817.28 and 5,925.66

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Solution

The third proportional to 2,817.28 and 5,925.66 is: 12,463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.28 : 5,925.66 = 5,925.66 : x
  2. Step 2: Convert to fraction form
    2,817.28/5,925.66 = 5,925.66/x
  3. Step 3: Cross multiply
    2,817.28x = 5,925.66 × 5,925.66
  4. Step 4: Simplify right side
    2,817.28x = 35,113,401.99
  5. Step 5: Solve for x
    x = 35,113,401.99/2,817.28
  6. Step 6: Final answer
    x = 12,463.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.