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Finding the Third Proportional to 8,048.81 and 12,026.81

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Solution

The third proportional to 8,048.81 and 12,026.81 is: 17,970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.81 : 12,026.81 = 12,026.81 : x
  2. Step 2: Convert to fraction form
    8,048.81/12,026.81 = 12,026.81/x
  3. Step 3: Cross multiply
    8,048.81x = 12,026.81 × 12,026.81
  4. Step 4: Simplify right side
    8,048.81x = 144,644,218.91
  5. Step 5: Solve for x
    x = 144,644,218.91/8,048.81
  6. Step 6: Final answer
    x = 17,970.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.