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Finding the Third Proportional to 5,518.76 and 8,541.07

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Solution

The third proportional to 5,518.76 and 8,541.07 is: 13,218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,518.76 : 8,541.07 = 8,541.07 : x
  2. Step 2: Convert to fraction form
    5,518.76/8,541.07 = 8,541.07/x
  3. Step 3: Cross multiply
    5,518.76x = 8,541.07 × 8,541.07
  4. Step 4: Simplify right side
    5,518.76x = 72,949,882.08
  5. Step 5: Solve for x
    x = 72,949,882.08/5,518.76
  6. Step 6: Final answer
    x = 13,218.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.