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Finding the Third Proportional to 32,751 and 49,403.25

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Solution

The third proportional to 32,751 and 49,403.25 is: 74,522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,751 : 49,403.25 = 49,403.25 : x
  2. Step 2: Convert to fraction form
    32,751/49,403.25 = 49,403.25/x
  3. Step 3: Cross multiply
    32,751x = 49,403.25 × 49,403.25
  4. Step 4: Simplify right side
    32,751x = 2,440,681,110.56
  5. Step 5: Solve for x
    x = 2,440,681,110.56/32,751
  6. Step 6: Final answer
    x = 74,522.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.