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Finding the Third Proportional to 22,092.75 and 33,802.31

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Solution

The third proportional to 22,092.75 and 33,802.31 is: 51,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,092.75 : 33,802.31 = 33,802.31 : x
  2. Step 2: Convert to fraction form
    22,092.75/33,802.31 = 33,802.31/x
  3. Step 3: Cross multiply
    22,092.75x = 33,802.31 × 33,802.31
  4. Step 4: Simplify right side
    22,092.75x = 1,142,596,330.35
  5. Step 5: Solve for x
    x = 1,142,596,330.35/22,092.75
  6. Step 6: Final answer
    x = 51,718.16

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.