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Finding the Third Proportional to 13,730 and 29,816

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Solution

The third proportional to 13,730 and 29,816 is: 64,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730 : 29,816 = 29,816 : x
  2. Step 2: Convert to fraction form
    13,730/29,816 = 29,816/x
  3. Step 3: Cross multiply
    13,730x = 29,816 × 29,816
  4. Step 4: Simplify right side
    13,730x = 888,993,856
  5. Step 5: Solve for x
    x = 888,993,856/13,730
  6. Step 6: Final answer
    x = 64,748.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.