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Finding the Third Proportional to 8,006.63 and 12,203.58

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Solution

The third proportional to 8,006.63 and 12,203.58 is: 18,600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.63 : 12,203.58 = 12,203.58 : x
  2. Step 2: Convert to fraction form
    8,006.63/12,203.58 = 12,203.58/x
  3. Step 3: Cross multiply
    8,006.63x = 12,203.58 × 12,203.58
  4. Step 4: Simplify right side
    8,006.63x = 148,927,319.05
  5. Step 5: Solve for x
    x = 148,927,319.05/8,006.63
  6. Step 6: Final answer
    x = 18,600.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.