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Finding the Third Proportional to 32,058 and 69,656

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Solution

The third proportional to 32,058 and 69,656 is: 151,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,058 : 69,656 = 69,656 : x
  2. Step 2: Convert to fraction form
    32,058/69,656 = 69,656/x
  3. Step 3: Cross multiply
    32,058x = 69,656 × 69,656
  4. Step 4: Simplify right side
    32,058x = 4,851,958,336
  5. Step 5: Solve for x
    x = 4,851,958,336/32,058
  6. Step 6: Final answer
    x = 151,349.38

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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.