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Finding the Third Proportional to 32,700 and 72,802

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Solution

The third proportional to 32,700 and 72,802 is: 162,083.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,700 : 72,802 = 72,802 : x
  2. Step 2: Convert to fraction form
    32,700/72,802 = 72,802/x
  3. Step 3: Cross multiply
    32,700x = 72,802 × 72,802
  4. Step 4: Simplify right side
    32,700x = 5,300,131,204
  5. Step 5: Solve for x
    x = 5,300,131,204/32,700
  6. Step 6: Final answer
    x = 162,083.52

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.