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Finding the Third Proportional to 32,989.78 and 51,113.53

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Solution

The third proportional to 32,989.78 and 51,113.53 is: 79,194.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,989.78 : 51,113.53 = 51,113.53 : x
  2. Step 2: Convert to fraction form
    32,989.78/51,113.53 = 51,113.53/x
  3. Step 3: Cross multiply
    32,989.78x = 51,113.53 × 51,113.53
  4. Step 4: Simplify right side
    32,989.78x = 2,612,593,076.84
  5. Step 5: Solve for x
    x = 2,612,593,076.84/32,989.78
  6. Step 6: Final answer
    x = 79,194.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.