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Finding the Third Proportional to 6,643 and 15,659.50

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Solution

The third proportional to 6,643 and 15,659.50 is: 36,914.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643 : 15,659.50 = 15,659.50 : x
  2. Step 2: Convert to fraction form
    6,643/15,659.50 = 15,659.50/x
  3. Step 3: Cross multiply
    6,643x = 15,659.50 × 15,659.50
  4. Step 4: Simplify right side
    6,643x = 245,219,940.25
  5. Step 5: Solve for x
    x = 245,219,940.25/6,643
  6. Step 6: Final answer
    x = 36,914.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.