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Finding the Third Proportional to 32,216 and 48,174

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Solution

The third proportional to 32,216 and 48,174 is: 72,036.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,216 : 48,174 = 48,174 : x
  2. Step 2: Convert to fraction form
    32,216/48,174 = 48,174/x
  3. Step 3: Cross multiply
    32,216x = 48,174 × 48,174
  4. Step 4: Simplify right side
    32,216x = 2,320,734,276
  5. Step 5: Solve for x
    x = 2,320,734,276/32,216
  6. Step 6: Final answer
    x = 72,036.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.