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Finding the Third Proportional to 15,981.05 and 33,646.96

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Solution

The third proportional to 15,981.05 and 33,646.96 is: 70,841.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,981.05 : 33,646.96 = 33,646.96 : x
  2. Step 2: Convert to fraction form
    15,981.05/33,646.96 = 33,646.96/x
  3. Step 3: Cross multiply
    15,981.05x = 33,646.96 × 33,646.96
  4. Step 4: Simplify right side
    15,981.05x = 1,132,117,717.46
  5. Step 5: Solve for x
    x = 1,132,117,717.46/15,981.05
  6. Step 6: Final answer
    x = 70,841.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.