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Finding the Third Proportional to 8,026.13 and 11,806.88

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Solution

The third proportional to 8,026.13 and 11,806.88 is: 17,368.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.13 : 11,806.88 = 11,806.88 : x
  2. Step 2: Convert to fraction form
    8,026.13/11,806.88 = 11,806.88/x
  3. Step 3: Cross multiply
    8,026.13x = 11,806.88 × 11,806.88
  4. Step 4: Simplify right side
    8,026.13x = 139,402,297.27
  5. Step 5: Solve for x
    x = 139,402,297.27/8,026.13
  6. Step 6: Final answer
    x = 17,368.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.