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Finding the Third Proportional to 2,237.75 and 4,799.50

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Solution

The third proportional to 2,237.75 and 4,799.50 is: 10,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.75 : 4,799.50 = 4,799.50 : x
  2. Step 2: Convert to fraction form
    2,237.75/4,799.50 = 4,799.50/x
  3. Step 3: Cross multiply
    2,237.75x = 4,799.50 × 4,799.50
  4. Step 4: Simplify right side
    2,237.75x = 23,035,200.25
  5. Step 5: Solve for x
    x = 23,035,200.25/2,237.75
  6. Step 6: Final answer
    x = 10,293.91

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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.