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Finding the Third Proportional to 32,120 and 47,208

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Solution

The third proportional to 32,120 and 47,208 is: 69,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,120 : 47,208 = 47,208 : x
  2. Step 2: Convert to fraction form
    32,120/47,208 = 47,208/x
  3. Step 3: Cross multiply
    32,120x = 47,208 × 47,208
  4. Step 4: Simplify right side
    32,120x = 2,228,595,264
  5. Step 5: Solve for x
    x = 2,228,595,264/32,120
  6. Step 6: Final answer
    x = 69,383.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.