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Finding the Third Proportional to 32,172 and 45,305

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Solution

The third proportional to 32,172 and 45,305 is: 63,799.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,172 : 45,305 = 45,305 : x
  2. Step 2: Convert to fraction form
    32,172/45,305 = 45,305/x
  3. Step 3: Cross multiply
    32,172x = 45,305 × 45,305
  4. Step 4: Simplify right side
    32,172x = 2,052,543,025
  5. Step 5: Solve for x
    x = 2,052,543,025/32,172
  6. Step 6: Final answer
    x = 63,799.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.