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Finding the Third Proportional to 4,788.70 and 10,451.95

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Solution

The third proportional to 4,788.70 and 10,451.95 is: 22,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.70 : 10,451.95 = 10,451.95 : x
  2. Step 2: Convert to fraction form
    4,788.70/10,451.95 = 10,451.95/x
  3. Step 3: Cross multiply
    4,788.70x = 10,451.95 × 10,451.95
  4. Step 4: Simplify right side
    4,788.70x = 109,243,324.13
  5. Step 5: Solve for x
    x = 109,243,324.13/4,788.70
  6. Step 6: Final answer
    x = 22,812.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.