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Finding the Third Proportional to 4,838.91 and 10,599.61

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Solution

The third proportional to 4,838.91 and 10,599.61 is: 23,218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.91 : 10,599.61 = 10,599.61 : x
  2. Step 2: Convert to fraction form
    4,838.91/10,599.61 = 10,599.61/x
  3. Step 3: Cross multiply
    4,838.91x = 10,599.61 × 10,599.61
  4. Step 4: Simplify right side
    4,838.91x = 112,351,718.90
  5. Step 5: Solve for x
    x = 112,351,718.90/4,838.91
  6. Step 6: Final answer
    x = 23,218.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.