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Finding the Third Proportional to 22,214.25 and 32,987.25

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Solution

The third proportional to 22,214.25 and 32,987.25 is: 48,984.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,214.25 : 32,987.25 = 32,987.25 : x
  2. Step 2: Convert to fraction form
    22,214.25/32,987.25 = 32,987.25/x
  3. Step 3: Cross multiply
    22,214.25x = 32,987.25 × 32,987.25
  4. Step 4: Simplify right side
    22,214.25x = 1,088,158,662.56
  5. Step 5: Solve for x
    x = 1,088,158,662.56/22,214.25
  6. Step 6: Final answer
    x = 48,984.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.