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Finding the Third Proportional to 8,686.63 and 16,941.25

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Solution

The third proportional to 8,686.63 and 16,941.25 is: 33,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.63 : 16,941.25 = 16,941.25 : x
  2. Step 2: Convert to fraction form
    8,686.63/16,941.25 = 16,941.25/x
  3. Step 3: Cross multiply
    8,686.63x = 16,941.25 × 16,941.25
  4. Step 4: Simplify right side
    8,686.63x = 287,005,951.56
  5. Step 5: Solve for x
    x = 287,005,951.56/8,686.63
  6. Step 6: Final answer
    x = 33,039.98

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.