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Finding the Third Proportional to 6,900.75 and 10,207.13

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Solution

The third proportional to 6,900.75 and 10,207.13 is: 15,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.75 : 10,207.13 = 10,207.13 : x
  2. Step 2: Convert to fraction form
    6,900.75/10,207.13 = 10,207.13/x
  3. Step 3: Cross multiply
    6,900.75x = 10,207.13 × 10,207.13
  4. Step 4: Simplify right side
    6,900.75x = 104,185,400.77
  5. Step 5: Solve for x
    x = 104,185,400.77/6,900.75
  6. Step 6: Final answer
    x = 15,097.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.