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Finding the Third Proportional to 14,416.26 and 29,780.79

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Solution

The third proportional to 14,416.26 and 29,780.79 is: 61,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.26 : 29,780.79 = 29,780.79 : x
  2. Step 2: Convert to fraction form
    14,416.26/29,780.79 = 29,780.79/x
  3. Step 3: Cross multiply
    14,416.26x = 29,780.79 × 29,780.79
  4. Step 4: Simplify right side
    14,416.26x = 886,895,397.19
  5. Step 5: Solve for x
    x = 886,895,397.19/14,416.26
  6. Step 6: Final answer
    x = 61,520.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.