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Finding the Third Proportional to 5,199.19 and 7,322.91

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Solution

The third proportional to 5,199.19 and 7,322.91 is: 10,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.19 : 7,322.91 = 7,322.91 : x
  2. Step 2: Convert to fraction form
    5,199.19/7,322.91 = 7,322.91/x
  3. Step 3: Cross multiply
    5,199.19x = 7,322.91 × 7,322.91
  4. Step 4: Simplify right side
    5,199.19x = 53,624,955.95
  5. Step 5: Solve for x
    x = 53,624,955.95/5,199.19
  6. Step 6: Final answer
    x = 10,314.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.