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Finding the Third Proportional to 15,817.78 and 30,633.19

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Solution

The third proportional to 15,817.78 and 30,633.19 is: 59,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.78 : 30,633.19 = 30,633.19 : x
  2. Step 2: Convert to fraction form
    15,817.78/30,633.19 = 30,633.19/x
  3. Step 3: Cross multiply
    15,817.78x = 30,633.19 × 30,633.19
  4. Step 4: Simplify right side
    15,817.78x = 938,392,176.41
  5. Step 5: Solve for x
    x = 938,392,176.41/15,817.78
  6. Step 6: Final answer
    x = 59,325.15

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.