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Finding the Third Proportional to 22,322.25 and 32,865.75

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Solution

The third proportional to 22,322.25 and 32,865.75 is: 48,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,322.25 : 32,865.75 = 32,865.75 : x
  2. Step 2: Convert to fraction form
    22,322.25/32,865.75 = 32,865.75/x
  3. Step 3: Cross multiply
    22,322.25x = 32,865.75 × 32,865.75
  4. Step 4: Simplify right side
    22,322.25x = 1,080,157,523.06
  5. Step 5: Solve for x
    x = 1,080,157,523.06/22,322.25
  6. Step 6: Final answer
    x = 48,389.28

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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.