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Finding the Third Proportional to 8,909.63 and 14,107.13

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Solution

The third proportional to 8,909.63 and 14,107.13 is: 22,336.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,909.63 : 14,107.13 = 14,107.13 : x
  2. Step 2: Convert to fraction form
    8,909.63/14,107.13 = 14,107.13/x
  3. Step 3: Cross multiply
    8,909.63x = 14,107.13 × 14,107.13
  4. Step 4: Simplify right side
    8,909.63x = 199,010,975.77
  5. Step 5: Solve for x
    x = 199,010,975.77/8,909.63
  6. Step 6: Final answer
    x = 22,336.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.