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Finding the Third Proportional to 8,267.91 and 19,501.59

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Solution

The third proportional to 8,267.91 and 19,501.59 is: 45,998.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.91 : 19,501.59 = 19,501.59 : x
  2. Step 2: Convert to fraction form
    8,267.91/19,501.59 = 19,501.59/x
  3. Step 3: Cross multiply
    8,267.91x = 19,501.59 × 19,501.59
  4. Step 4: Simplify right side
    8,267.91x = 380,312,158.79
  5. Step 5: Solve for x
    x = 380,312,158.79/8,267.91
  6. Step 6: Final answer
    x = 45,998.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.