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Finding the Third Proportional to 16,643 and 36,202

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Solution

The third proportional to 16,643 and 36,202 is: 78,746.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643 : 36,202 = 36,202 : x
  2. Step 2: Convert to fraction form
    16,643/36,202 = 36,202/x
  3. Step 3: Cross multiply
    16,643x = 36,202 × 36,202
  4. Step 4: Simplify right side
    16,643x = 1,310,584,804
  5. Step 5: Solve for x
    x = 1,310,584,804/16,643
  6. Step 6: Final answer
    x = 78,746.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.