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Finding the Third Proportional to 16,638 and 35,941.50

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Solution

The third proportional to 16,638 and 35,941.50 is: 77,641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,638 : 35,941.50 = 35,941.50 : x
  2. Step 2: Convert to fraction form
    16,638/35,941.50 = 35,941.50/x
  3. Step 3: Cross multiply
    16,638x = 35,941.50 × 35,941.50
  4. Step 4: Simplify right side
    16,638x = 1,291,791,422.25
  5. Step 5: Solve for x
    x = 1,291,791,422.25/16,638
  6. Step 6: Final answer
    x = 77,641.03

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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.