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Finding the Third Proportional to 32,106 and 47,229

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Solution

The third proportional to 32,106 and 47,229 is: 69,475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,106 : 47,229 = 47,229 : x
  2. Step 2: Convert to fraction form
    32,106/47,229 = 47,229/x
  3. Step 3: Cross multiply
    32,106x = 47,229 × 47,229
  4. Step 4: Simplify right side
    32,106x = 2,230,578,441
  5. Step 5: Solve for x
    x = 2,230,578,441/32,106
  6. Step 6: Final answer
    x = 69,475.44

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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.