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Finding the Third Proportional to 6,744.09 and 10,210.22

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Solution

The third proportional to 6,744.09 and 10,210.22 is: 15,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.09 : 10,210.22 = 10,210.22 : x
  2. Step 2: Convert to fraction form
    6,744.09/10,210.22 = 10,210.22/x
  3. Step 3: Cross multiply
    6,744.09x = 10,210.22 × 10,210.22
  4. Step 4: Simplify right side
    6,744.09x = 104,248,566.92
  5. Step 5: Solve for x
    x = 104,248,566.92/6,744.09
  6. Step 6: Final answer
    x = 15,457.76

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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.