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Finding the Third Proportional to 32,208 and 47,076

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Solution

The third proportional to 32,208 and 47,076 is: 68,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,208 : 47,076 = 47,076 : x
  2. Step 2: Convert to fraction form
    32,208/47,076 = 47,076/x
  3. Step 3: Cross multiply
    32,208x = 47,076 × 47,076
  4. Step 4: Simplify right side
    32,208x = 2,216,149,776
  5. Step 5: Solve for x
    x = 2,216,149,776/32,208
  6. Step 6: Final answer
    x = 68,807.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.