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Finding the Third Proportional to 23,818.50 and 32,690.25

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Solution

The third proportional to 23,818.50 and 32,690.25 is: 44,866.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,818.50 : 32,690.25 = 32,690.25 : x
  2. Step 2: Convert to fraction form
    23,818.50/32,690.25 = 32,690.25/x
  3. Step 3: Cross multiply
    23,818.50x = 32,690.25 × 32,690.25
  4. Step 4: Simplify right side
    23,818.50x = 1,068,652,445.06
  5. Step 5: Solve for x
    x = 1,068,652,445.06/23,818.50
  6. Step 6: Final answer
    x = 44,866.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.