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Finding the Third Proportional to 20,211.71 and 47,208.45

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Solution

The third proportional to 20,211.71 and 47,208.45 is: 110,264.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211.71 : 47,208.45 = 47,208.45 : x
  2. Step 2: Convert to fraction form
    20,211.71/47,208.45 = 47,208.45/x
  3. Step 3: Cross multiply
    20,211.71x = 47,208.45 × 47,208.45
  4. Step 4: Simplify right side
    20,211.71x = 2,228,637,308.82
  5. Step 5: Solve for x
    x = 2,228,637,308.82/20,211.71
  6. Step 6: Final answer
    x = 110,264.63

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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.