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Finding the Third Proportional to 22,377.38 and 31,368.94

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Solution

The third proportional to 22,377.38 and 31,368.94 is: 43,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,377.38 : 31,368.94 = 31,368.94 : x
  2. Step 2: Convert to fraction form
    22,377.38/31,368.94 = 31,368.94/x
  3. Step 3: Cross multiply
    22,377.38x = 31,368.94 × 31,368.94
  4. Step 4: Simplify right side
    22,377.38x = 984,010,239.88
  5. Step 5: Solve for x
    x = 984,010,239.88/22,377.38
  6. Step 6: Final answer
    x = 43,973.44

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.