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Finding the Third Proportional to 8,992.13 and 14,106.38

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Solution

The third proportional to 8,992.13 and 14,106.38 is: 22,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,992.13 : 14,106.38 = 14,106.38 : x
  2. Step 2: Convert to fraction form
    8,992.13/14,106.38 = 14,106.38/x
  3. Step 3: Cross multiply
    8,992.13x = 14,106.38 × 14,106.38
  4. Step 4: Simplify right side
    8,992.13x = 198,989,815.64
  5. Step 5: Solve for x
    x = 198,989,815.64/8,992.13
  6. Step 6: Final answer
    x = 22,129.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.