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Finding the Third Proportional to 7,502.63 and 9,937.69

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Solution

The third proportional to 7,502.63 and 9,937.69 is: 13,163.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.63 : 9,937.69 = 9,937.69 : x
  2. Step 2: Convert to fraction form
    7,502.63/9,937.69 = 9,937.69/x
  3. Step 3: Cross multiply
    7,502.63x = 9,937.69 × 9,937.69
  4. Step 4: Simplify right side
    7,502.63x = 98,757,632.85
  5. Step 5: Solve for x
    x = 98,757,632.85/7,502.63
  6. Step 6: Final answer
    x = 13,163.08

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.