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Finding the Third Proportional to 4,334.13 and 6,521.13

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Solution

The third proportional to 4,334.13 and 6,521.13 is: 9,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.13 : 6,521.13 = 6,521.13 : x
  2. Step 2: Convert to fraction form
    4,334.13/6,521.13 = 6,521.13/x
  3. Step 3: Cross multiply
    4,334.13x = 6,521.13 × 6,521.13
  4. Step 4: Simplify right side
    4,334.13x = 42,525,173.16
  5. Step 5: Solve for x
    x = 42,525,173.16/4,334.13
  6. Step 6: Final answer
    x = 9,811.69

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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.