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Finding the Third Proportional to 29,757 and 70,124.25

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Solution

The third proportional to 29,757 and 70,124.25 is: 165,252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,757 : 70,124.25 = 70,124.25 : x
  2. Step 2: Convert to fraction form
    29,757/70,124.25 = 70,124.25/x
  3. Step 3: Cross multiply
    29,757x = 70,124.25 × 70,124.25
  4. Step 4: Simplify right side
    29,757x = 4,917,410,438.06
  5. Step 5: Solve for x
    x = 4,917,410,438.06/29,757
  6. Step 6: Final answer
    x = 165,252.22

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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.