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Finding the Third Proportional to 32,911.31 and 49,657.43

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Solution

The third proportional to 32,911.31 and 49,657.43 is: 74,924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,911.31 : 49,657.43 = 49,657.43 : x
  2. Step 2: Convert to fraction form
    32,911.31/49,657.43 = 49,657.43/x
  3. Step 3: Cross multiply
    32,911.31x = 49,657.43 × 49,657.43
  4. Step 4: Simplify right side
    32,911.31x = 2,465,860,323.17
  5. Step 5: Solve for x
    x = 2,465,860,323.17/32,911.31
  6. Step 6: Final answer
    x = 74,924.40

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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.