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Finding the Third Proportional to 5,836.50 and 8,734.13

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Solution

The third proportional to 5,836.50 and 8,734.13 is: 13,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.50 : 8,734.13 = 8,734.13 : x
  2. Step 2: Convert to fraction form
    5,836.50/8,734.13 = 8,734.13/x
  3. Step 3: Cross multiply
    5,836.50x = 8,734.13 × 8,734.13
  4. Step 4: Simplify right side
    5,836.50x = 76,284,939.52
  5. Step 5: Solve for x
    x = 76,284,939.52/5,836.50
  6. Step 6: Final answer
    x = 13,070.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.