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Finding the Third Proportional to 7,199.16 and 10,743.26

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Solution

The third proportional to 7,199.16 and 10,743.26 is: 16,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.16 : 10,743.26 = 10,743.26 : x
  2. Step 2: Convert to fraction form
    7,199.16/10,743.26 = 10,743.26/x
  3. Step 3: Cross multiply
    7,199.16x = 10,743.26 × 10,743.26
  4. Step 4: Simplify right side
    7,199.16x = 115,417,588.43
  5. Step 5: Solve for x
    x = 115,417,588.43/7,199.16
  6. Step 6: Final answer
    x = 16,032.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.