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Finding the Third Proportional to 8,693.44 and 13,080.94

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Solution

The third proportional to 8,693.44 and 13,080.94 is: 19,682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.44 : 13,080.94 = 13,080.94 : x
  2. Step 2: Convert to fraction form
    8,693.44/13,080.94 = 13,080.94/x
  3. Step 3: Cross multiply
    8,693.44x = 13,080.94 × 13,080.94
  4. Step 4: Simplify right side
    8,693.44x = 171,110,925.88
  5. Step 5: Solve for x
    x = 171,110,925.88/8,693.44
  6. Step 6: Final answer
    x = 19,682.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.