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Finding the Third Proportional to 23,074.88 and 32,996.53

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Solution

The third proportional to 23,074.88 and 32,996.53 is: 47,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074.88 : 32,996.53 = 32,996.53 : x
  2. Step 2: Convert to fraction form
    23,074.88/32,996.53 = 32,996.53/x
  3. Step 3: Cross multiply
    23,074.88x = 32,996.53 × 32,996.53
  4. Step 4: Simplify right side
    23,074.88x = 1,088,771,074.53
  5. Step 5: Solve for x
    x = 1,088,771,074.53/23,074.88
  6. Step 6: Final answer
    x = 47,184.27

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.