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Finding the Third Proportional to 5,533.14 and 8,341.61

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Solution

The third proportional to 5,533.14 and 8,341.61 is: 12,575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.14 : 8,341.61 = 8,341.61 : x
  2. Step 2: Convert to fraction form
    5,533.14/8,341.61 = 8,341.61/x
  3. Step 3: Cross multiply
    5,533.14x = 8,341.61 × 8,341.61
  4. Step 4: Simplify right side
    5,533.14x = 69,582,429.15
  5. Step 5: Solve for x
    x = 69,582,429.15/5,533.14
  6. Step 6: Final answer
    x = 12,575.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.