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Finding the Third Proportional to 22,267.41 and 32,670.84

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Solution

The third proportional to 22,267.41 and 32,670.84 is: 47,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,267.41 : 32,670.84 = 32,670.84 : x
  2. Step 2: Convert to fraction form
    22,267.41/32,670.84 = 32,670.84/x
  3. Step 3: Cross multiply
    22,267.41x = 32,670.84 × 32,670.84
  4. Step 4: Simplify right side
    22,267.41x = 1,067,384,031.34
  5. Step 5: Solve for x
    x = 1,067,384,031.34/22,267.41
  6. Step 6: Final answer
    x = 47,934.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.