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Finding the Third Proportional to 20,427.19 and 37,801.69

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Solution

The third proportional to 20,427.19 and 37,801.69 is: 69,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,427.19 : 37,801.69 = 37,801.69 : x
  2. Step 2: Convert to fraction form
    20,427.19/37,801.69 = 37,801.69/x
  3. Step 3: Cross multiply
    20,427.19x = 37,801.69 × 37,801.69
  4. Step 4: Simplify right side
    20,427.19x = 1,428,967,577.85
  5. Step 5: Solve for x
    x = 1,428,967,577.85/20,427.19
  6. Step 6: Final answer
    x = 69,954.20

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.