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Finding the Third Proportional to 13,624.26 and 29,219.21

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Solution

The third proportional to 13,624.26 and 29,219.21 is: 62,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.26 : 29,219.21 = 29,219.21 : x
  2. Step 2: Convert to fraction form
    13,624.26/29,219.21 = 29,219.21/x
  3. Step 3: Cross multiply
    13,624.26x = 29,219.21 × 29,219.21
  4. Step 4: Simplify right side
    13,624.26x = 853,762,088.07
  5. Step 5: Solve for x
    x = 853,762,088.07/13,624.26
  6. Step 6: Final answer
    x = 62,664.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.