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Finding the Third Proportional to 22,456.69 and 35,227.69

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Solution

The third proportional to 22,456.69 and 35,227.69 is: 55,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,456.69 : 35,227.69 = 35,227.69 : x
  2. Step 2: Convert to fraction form
    22,456.69/35,227.69 = 35,227.69/x
  3. Step 3: Cross multiply
    22,456.69x = 35,227.69 × 35,227.69
  4. Step 4: Simplify right side
    22,456.69x = 1,240,989,966.60
  5. Step 5: Solve for x
    x = 1,240,989,966.60/22,456.69
  6. Step 6: Final answer
    x = 55,261.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.