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Finding the Third Proportional to 29,872.13 and 70,476.75

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Solution

The third proportional to 29,872.13 and 70,476.75 is: 166,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,872.13 : 70,476.75 = 70,476.75 : x
  2. Step 2: Convert to fraction form
    29,872.13/70,476.75 = 70,476.75/x
  3. Step 3: Cross multiply
    29,872.13x = 70,476.75 × 70,476.75
  4. Step 4: Simplify right side
    29,872.13x = 4,966,972,290.56
  5. Step 5: Solve for x
    x = 4,966,972,290.56/29,872.13
  6. Step 6: Final answer
    x = 166,274.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.