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Finding the Third Proportional to 32,511 and 51,588

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Solution

The third proportional to 32,511 and 51,588 is: 81,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,511 : 51,588 = 51,588 : x
  2. Step 2: Convert to fraction form
    32,511/51,588 = 51,588/x
  3. Step 3: Cross multiply
    32,511x = 51,588 × 51,588
  4. Step 4: Simplify right side
    32,511x = 2,661,321,744
  5. Step 5: Solve for x
    x = 2,661,321,744/32,511
  6. Step 6: Final answer
    x = 81,859.12

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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.