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Finding the Third Proportional to 32,478 and 69,628

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Solution

The third proportional to 32,478 and 69,628 is: 149,272.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,478 : 69,628 = 69,628 : x
  2. Step 2: Convert to fraction form
    32,478/69,628 = 69,628/x
  3. Step 3: Cross multiply
    32,478x = 69,628 × 69,628
  4. Step 4: Simplify right side
    32,478x = 4,848,058,384
  5. Step 5: Solve for x
    x = 4,848,058,384/32,478
  6. Step 6: Final answer
    x = 149,272.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.