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Finding the Third Proportional to 8,113.92 and 13,051.76

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Solution

The third proportional to 8,113.92 and 13,051.76 is: 20,994.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.92 : 13,051.76 = 13,051.76 : x
  2. Step 2: Convert to fraction form
    8,113.92/13,051.76 = 13,051.76/x
  3. Step 3: Cross multiply
    8,113.92x = 13,051.76 × 13,051.76
  4. Step 4: Simplify right side
    8,113.92x = 170,348,382.00
  5. Step 5: Solve for x
    x = 170,348,382.00/8,113.92
  6. Step 6: Final answer
    x = 20,994.58

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.