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Finding the Third Proportional to 2,317.36 and 4,924.55

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Solution

The third proportional to 2,317.36 and 4,924.55 is: 10,465.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.36 : 4,924.55 = 4,924.55 : x
  2. Step 2: Convert to fraction form
    2,317.36/4,924.55 = 4,924.55/x
  3. Step 3: Cross multiply
    2,317.36x = 4,924.55 × 4,924.55
  4. Step 4: Simplify right side
    2,317.36x = 24,251,161.92
  5. Step 5: Solve for x
    x = 24,251,161.92/2,317.36
  6. Step 6: Final answer
    x = 10,465.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.