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Finding the Third Proportional to 31,573.50 and 40,645.50

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Solution

The third proportional to 31,573.50 and 40,645.50 is: 52,324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,573.50 : 40,645.50 = 40,645.50 : x
  2. Step 2: Convert to fraction form
    31,573.50/40,645.50 = 40,645.50/x
  3. Step 3: Cross multiply
    31,573.50x = 40,645.50 × 40,645.50
  4. Step 4: Simplify right side
    31,573.50x = 1,652,056,670.25
  5. Step 5: Solve for x
    x = 1,652,056,670.25/31,573.50
  6. Step 6: Final answer
    x = 52,324.15

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.