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Finding the Third Proportional to 20,154.94 and 47,065.08

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Solution

The third proportional to 20,154.94 and 47,065.08 is: 109,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,154.94 : 47,065.08 = 47,065.08 : x
  2. Step 2: Convert to fraction form
    20,154.94/47,065.08 = 47,065.08/x
  3. Step 3: Cross multiply
    20,154.94x = 47,065.08 × 47,065.08
  4. Step 4: Simplify right side
    20,154.94x = 2,215,121,578.91
  5. Step 5: Solve for x
    x = 2,215,121,578.91/20,154.94
  6. Step 6: Final answer
    x = 109,904.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.