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Finding the Third Proportional to 15,136.50 and 32,973

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Solution

The third proportional to 15,136.50 and 32,973 is: 71,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,136.50 : 32,973 = 32,973 : x
  2. Step 2: Convert to fraction form
    15,136.50/32,973 = 32,973/x
  3. Step 3: Cross multiply
    15,136.50x = 32,973 × 32,973
  4. Step 4: Simplify right side
    15,136.50x = 1,087,218,729
  5. Step 5: Solve for x
    x = 1,087,218,729/15,136.50
  6. Step 6: Final answer
    x = 71,827.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.