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Finding the Third Proportional to 32,170 and 69,840

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Solution

The third proportional to 32,170 and 69,840 is: 151,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,170 : 69,840 = 69,840 : x
  2. Step 2: Convert to fraction form
    32,170/69,840 = 69,840/x
  3. Step 3: Cross multiply
    32,170x = 69,840 × 69,840
  4. Step 4: Simplify right side
    32,170x = 4,877,625,600
  5. Step 5: Solve for x
    x = 4,877,625,600/32,170
  6. Step 6: Final answer
    x = 151,620.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.