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Finding the Third Proportional to 10,664.25 and 24,913.13

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Solution

The third proportional to 10,664.25 and 24,913.13 is: 58,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664.25 : 24,913.13 = 24,913.13 : x
  2. Step 2: Convert to fraction form
    10,664.25/24,913.13 = 24,913.13/x
  3. Step 3: Cross multiply
    10,664.25x = 24,913.13 × 24,913.13
  4. Step 4: Simplify right side
    10,664.25x = 620,663,797.27
  5. Step 5: Solve for x
    x = 620,663,797.27/10,664.25
  6. Step 6: Final answer
    x = 58,200.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.