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Finding the Third Proportional to 4,899.75 and 7,394.25

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Solution

The third proportional to 4,899.75 and 7,394.25 is: 11,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.75 : 7,394.25 = 7,394.25 : x
  2. Step 2: Convert to fraction form
    4,899.75/7,394.25 = 7,394.25/x
  3. Step 3: Cross multiply
    4,899.75x = 7,394.25 × 7,394.25
  4. Step 4: Simplify right side
    4,899.75x = 54,674,933.06
  5. Step 5: Solve for x
    x = 54,674,933.06/4,899.75
  6. Step 6: Final answer
    x = 11,158.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.