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Finding the Third Proportional to 29,872.13 and 48,076.03

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Solution

The third proportional to 29,872.13 and 48,076.03 is: 77,373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,872.13 : 48,076.03 = 48,076.03 : x
  2. Step 2: Convert to fraction form
    29,872.13/48,076.03 = 48,076.03/x
  3. Step 3: Cross multiply
    29,872.13x = 48,076.03 × 48,076.03
  4. Step 4: Simplify right side
    29,872.13x = 2,311,304,780.75
  5. Step 5: Solve for x
    x = 2,311,304,780.75/29,872.13
  6. Step 6: Final answer
    x = 77,373.30

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.