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Finding the Third Proportional to 32,735 and 51,917

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Solution

The third proportional to 32,735 and 51,917 is: 82,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,735 : 51,917 = 51,917 : x
  2. Step 2: Convert to fraction form
    32,735/51,917 = 51,917/x
  3. Step 3: Cross multiply
    32,735x = 51,917 × 51,917
  4. Step 4: Simplify right side
    32,735x = 2,695,374,889
  5. Step 5: Solve for x
    x = 2,695,374,889/32,735
  6. Step 6: Final answer
    x = 82,339.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.