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Finding the Third Proportional to 20,822.06 and 32,486.06

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Solution

The third proportional to 20,822.06 and 32,486.06 is: 50,683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,822.06 : 32,486.06 = 32,486.06 : x
  2. Step 2: Convert to fraction form
    20,822.06/32,486.06 = 32,486.06/x
  3. Step 3: Cross multiply
    20,822.06x = 32,486.06 × 32,486.06
  4. Step 4: Simplify right side
    20,822.06x = 1,055,344,256.75
  5. Step 5: Solve for x
    x = 1,055,344,256.75/20,822.06
  6. Step 6: Final answer
    x = 50,683.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.