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Finding the Third Proportional to 16,725 and 36,863

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Solution

The third proportional to 16,725 and 36,863 is: 81,248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,725 : 36,863 = 36,863 : x
  2. Step 2: Convert to fraction form
    16,725/36,863 = 36,863/x
  3. Step 3: Cross multiply
    16,725x = 36,863 × 36,863
  4. Step 4: Simplify right side
    16,725x = 1,358,880,769
  5. Step 5: Solve for x
    x = 1,358,880,769/16,725
  6. Step 6: Final answer
    x = 81,248.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.