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Finding the Third Proportional to 11,083.88 and 23,926.13

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Solution

The third proportional to 11,083.88 and 23,926.13 is: 51,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,083.88 : 23,926.13 = 23,926.13 : x
  2. Step 2: Convert to fraction form
    11,083.88/23,926.13 = 23,926.13/x
  3. Step 3: Cross multiply
    11,083.88x = 23,926.13 × 23,926.13
  4. Step 4: Simplify right side
    11,083.88x = 572,459,457.52
  5. Step 5: Solve for x
    x = 572,459,457.52/11,083.88
  6. Step 6: Final answer
    x = 51,647.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.