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Finding the Third Proportional to 2,653.03 and 4,924.97

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Solution

The third proportional to 2,653.03 and 4,924.97 is: 9,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.03 : 4,924.97 = 4,924.97 : x
  2. Step 2: Convert to fraction form
    2,653.03/4,924.97 = 4,924.97/x
  3. Step 3: Cross multiply
    2,653.03x = 4,924.97 × 4,924.97
  4. Step 4: Simplify right side
    2,653.03x = 24,255,317.19
  5. Step 5: Solve for x
    x = 24,255,317.19/2,653.03
  6. Step 6: Final answer
    x = 9,142.49

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.