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Finding the Third Proportional to 20,823.19 and 33,534.56

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Solution

The third proportional to 20,823.19 and 33,534.56 is: 54,005.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,823.19 : 33,534.56 = 33,534.56 : x
  2. Step 2: Convert to fraction form
    20,823.19/33,534.56 = 33,534.56/x
  3. Step 3: Cross multiply
    20,823.19x = 33,534.56 × 33,534.56
  4. Step 4: Simplify right side
    20,823.19x = 1,124,566,882.07
  5. Step 5: Solve for x
    x = 1,124,566,882.07/20,823.19
  6. Step 6: Final answer
    x = 54,005.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.