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Finding the Third Proportional to 10,249.03 and 22,070.81

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Solution

The third proportional to 10,249.03 and 22,070.81 is: 47,528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.03 : 22,070.81 = 22,070.81 : x
  2. Step 2: Convert to fraction form
    10,249.03/22,070.81 = 22,070.81/x
  3. Step 3: Cross multiply
    10,249.03x = 22,070.81 × 22,070.81
  4. Step 4: Simplify right side
    10,249.03x = 487,120,764.41
  5. Step 5: Solve for x
    x = 487,120,764.41/10,249.03
  6. Step 6: Final answer
    x = 47,528.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.