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Finding the Third Proportional to 9,363.09 and 15,599.46

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Solution

The third proportional to 9,363.09 and 15,599.46 is: 25,989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.09 : 15,599.46 = 15,599.46 : x
  2. Step 2: Convert to fraction form
    9,363.09/15,599.46 = 15,599.46/x
  3. Step 3: Cross multiply
    9,363.09x = 15,599.46 × 15,599.46
  4. Step 4: Simplify right side
    9,363.09x = 243,343,181.54
  5. Step 5: Solve for x
    x = 243,343,181.54/9,363.09
  6. Step 6: Final answer
    x = 25,989.61

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.