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Finding the Third Proportional to 32,136.75 and 51,175.13

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Solution

The third proportional to 32,136.75 and 51,175.13 is: 81,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,136.75 : 51,175.13 = 51,175.13 : x
  2. Step 2: Convert to fraction form
    32,136.75/51,175.13 = 51,175.13/x
  3. Step 3: Cross multiply
    32,136.75x = 51,175.13 × 51,175.13
  4. Step 4: Simplify right side
    32,136.75x = 2,618,893,418.77
  5. Step 5: Solve for x
    x = 2,618,893,418.77/32,136.75
  6. Step 6: Final answer
    x = 81,492.17

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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.