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Finding the Third Proportional to 2,295.75 and 4,914.75

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Solution

The third proportional to 2,295.75 and 4,914.75 is: 10,521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.75 : 4,914.75 = 4,914.75 : x
  2. Step 2: Convert to fraction form
    2,295.75/4,914.75 = 4,914.75/x
  3. Step 3: Cross multiply
    2,295.75x = 4,914.75 × 4,914.75
  4. Step 4: Simplify right side
    2,295.75x = 24,154,767.56
  5. Step 5: Solve for x
    x = 24,154,767.56/2,295.75
  6. Step 6: Final answer
    x = 10,521.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.