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Finding the Third Proportional to 23,554.69 and 31,985.44

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Solution

The third proportional to 23,554.69 and 31,985.44 is: 43,433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,554.69 : 31,985.44 = 31,985.44 : x
  2. Step 2: Convert to fraction form
    23,554.69/31,985.44 = 31,985.44/x
  3. Step 3: Cross multiply
    23,554.69x = 31,985.44 × 31,985.44
  4. Step 4: Simplify right side
    23,554.69x = 1,023,068,212.07
  5. Step 5: Solve for x
    x = 1,023,068,212.07/23,554.69
  6. Step 6: Final answer
    x = 43,433.74

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.