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Finding the Third Proportional to 19,443 and 25,276.50

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Solution

The third proportional to 19,443 and 25,276.50 is: 32,860.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,443 : 25,276.50 = 25,276.50 : x
  2. Step 2: Convert to fraction form
    19,443/25,276.50 = 25,276.50/x
  3. Step 3: Cross multiply
    19,443x = 25,276.50 × 25,276.50
  4. Step 4: Simplify right side
    19,443x = 638,901,452.25
  5. Step 5: Solve for x
    x = 638,901,452.25/19,443
  6. Step 6: Final answer
    x = 32,860.23

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.