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Finding the Third Proportional to 20,908.13 and 32,030.44

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Solution

The third proportional to 20,908.13 and 32,030.44 is: 49,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,908.13 : 32,030.44 = 32,030.44 : x
  2. Step 2: Convert to fraction form
    20,908.13/32,030.44 = 32,030.44/x
  3. Step 3: Cross multiply
    20,908.13x = 32,030.44 × 32,030.44
  4. Step 4: Simplify right side
    20,908.13x = 1,025,948,926.44
  5. Step 5: Solve for x
    x = 1,025,948,926.44/20,908.13
  6. Step 6: Final answer
    x = 49,069.39

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Why These Related Problems?

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