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Finding the Third Proportional to 23,338.13 and 37,106.44

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Solution

The third proportional to 23,338.13 and 37,106.44 is: 58,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,338.13 : 37,106.44 = 37,106.44 : x
  2. Step 2: Convert to fraction form
    23,338.13/37,106.44 = 37,106.44/x
  3. Step 3: Cross multiply
    23,338.13x = 37,106.44 × 37,106.44
  4. Step 4: Simplify right side
    23,338.13x = 1,376,887,703.94
  5. Step 5: Solve for x
    x = 1,376,887,703.94/23,338.13
  6. Step 6: Final answer
    x = 58,997.36

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.