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Finding the Third Proportional to 12,624.19 and 26,614.69

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Solution

The third proportional to 12,624.19 and 26,614.69 is: 56,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,624.19 : 26,614.69 = 26,614.69 : x
  2. Step 2: Convert to fraction form
    12,624.19/26,614.69 = 26,614.69/x
  3. Step 3: Cross multiply
    12,624.19x = 26,614.69 × 26,614.69
  4. Step 4: Simplify right side
    12,624.19x = 708,341,590.72
  5. Step 5: Solve for x
    x = 708,341,590.72/12,624.19
  6. Step 6: Final answer
    x = 56,109.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.