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Finding the Third Proportional to 22,376.50 and 31,367.63

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Solution

The third proportional to 22,376.50 and 31,367.63 is: 43,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,376.50 : 31,367.63 = 31,367.63 : x
  2. Step 2: Convert to fraction form
    22,376.50/31,367.63 = 31,367.63/x
  3. Step 3: Cross multiply
    22,376.50x = 31,367.63 × 31,367.63
  4. Step 4: Simplify right side
    22,376.50x = 983,927,898.14
  5. Step 5: Solve for x
    x = 983,927,898.14/22,376.50
  6. Step 6: Final answer
    x = 43,971.48

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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.