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Finding the Third Proportional to 22,838.34 and 33,565.22

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Solution

The third proportional to 22,838.34 and 33,565.22 is: 49,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838.34 : 33,565.22 = 33,565.22 : x
  2. Step 2: Convert to fraction form
    22,838.34/33,565.22 = 33,565.22/x
  3. Step 3: Cross multiply
    22,838.34x = 33,565.22 × 33,565.22
  4. Step 4: Simplify right side
    22,838.34x = 1,126,623,909.74
  5. Step 5: Solve for x
    x = 1,126,623,909.74/22,838.34
  6. Step 6: Final answer
    x = 49,330.37

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