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Finding the Third Proportional to 14,044 and 29,816

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Solution

The third proportional to 14,044 and 29,816 is: 63,300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,044 : 29,816 = 29,816 : x
  2. Step 2: Convert to fraction form
    14,044/29,816 = 29,816/x
  3. Step 3: Cross multiply
    14,044x = 29,816 × 29,816
  4. Step 4: Simplify right side
    14,044x = 888,993,856
  5. Step 5: Solve for x
    x = 888,993,856/14,044
  6. Step 6: Final answer
    x = 63,300.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.