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Finding the Third Proportional to 32,703 and 72,808

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Solution

The third proportional to 32,703 and 72,808 is: 162,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,703 : 72,808 = 72,808 : x
  2. Step 2: Convert to fraction form
    32,703/72,808 = 72,808/x
  3. Step 3: Cross multiply
    32,703x = 72,808 × 72,808
  4. Step 4: Simplify right side
    32,703x = 5,301,004,864
  5. Step 5: Solve for x
    x = 5,301,004,864/32,703
  6. Step 6: Final answer
    x = 162,095.37

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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.