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Finding the Third Proportional to 16,772 and 36,154

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Solution

The third proportional to 16,772 and 36,154 is: 77,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,772 : 36,154 = 36,154 : x
  2. Step 2: Convert to fraction form
    16,772/36,154 = 36,154/x
  3. Step 3: Cross multiply
    16,772x = 36,154 × 36,154
  4. Step 4: Simplify right side
    16,772x = 1,307,111,716
  5. Step 5: Solve for x
    x = 1,307,111,716/16,772
  6. Step 6: Final answer
    x = 77,934.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.