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Finding the Third Proportional to 32,094 and 47,169

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Solution

The third proportional to 32,094 and 47,169 is: 69,324.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,094 : 47,169 = 47,169 : x
  2. Step 2: Convert to fraction form
    32,094/47,169 = 47,169/x
  3. Step 3: Cross multiply
    32,094x = 47,169 × 47,169
  4. Step 4: Simplify right side
    32,094x = 2,224,914,561
  5. Step 5: Solve for x
    x = 2,224,914,561/32,094
  6. Step 6: Final answer
    x = 69,324.94

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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.