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Finding the Third Proportional to 21,813.05 and 47,316.66

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Solution

The third proportional to 21,813.05 and 47,316.66 is: 102,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,813.05 : 47,316.66 = 47,316.66 : x
  2. Step 2: Convert to fraction form
    21,813.05/47,316.66 = 47,316.66/x
  3. Step 3: Cross multiply
    21,813.05x = 47,316.66 × 47,316.66
  4. Step 4: Simplify right side
    21,813.05x = 2,238,865,958.68
  5. Step 5: Solve for x
    x = 2,238,865,958.68/21,813.05
  6. Step 6: Final answer
    x = 102,638.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.