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Finding the Third Proportional to 15,864.19 and 33,913.69

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Solution

The third proportional to 15,864.19 and 33,913.69 is: 72,499.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,864.19 : 33,913.69 = 33,913.69 : x
  2. Step 2: Convert to fraction form
    15,864.19/33,913.69 = 33,913.69/x
  3. Step 3: Cross multiply
    15,864.19x = 33,913.69 × 33,913.69
  4. Step 4: Simplify right side
    15,864.19x = 1,150,138,199.85
  5. Step 5: Solve for x
    x = 1,150,138,199.85/15,864.19
  6. Step 6: Final answer
    x = 72,499.03

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.