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Finding the Third Proportional to 29,656 and 70,005

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Solution

The third proportional to 29,656 and 70,005 is: 165,251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,656 : 70,005 = 70,005 : x
  2. Step 2: Convert to fraction form
    29,656/70,005 = 70,005/x
  3. Step 3: Cross multiply
    29,656x = 70,005 × 70,005
  4. Step 4: Simplify right side
    29,656x = 4,900,700,025
  5. Step 5: Solve for x
    x = 4,900,700,025/29,656
  6. Step 6: Final answer
    x = 165,251.55

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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.