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Finding the Third Proportional to 32,468 and 70,000

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Solution

The third proportional to 32,468 and 70,000 is: 150,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468 : 70,000 = 70,000 : x
  2. Step 2: Convert to fraction form
    32,468/70,000 = 70,000/x
  3. Step 3: Cross multiply
    32,468x = 70,000 × 70,000
  4. Step 4: Simplify right side
    32,468x = 4,900,000,000
  5. Step 5: Solve for x
    x = 4,900,000,000/32,468
  6. Step 6: Final answer
    x = 150,917.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.