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Finding the Third Proportional to 22,182.75 and 35,118

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Solution

The third proportional to 22,182.75 and 35,118 is: 55,596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182.75 : 35,118 = 35,118 : x
  2. Step 2: Convert to fraction form
    22,182.75/35,118 = 35,118/x
  3. Step 3: Cross multiply
    22,182.75x = 35,118 × 35,118
  4. Step 4: Simplify right side
    22,182.75x = 1,233,273,924
  5. Step 5: Solve for x
    x = 1,233,273,924/22,182.75
  6. Step 6: Final answer
    x = 55,596.08

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.