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Finding the Third Proportional to 47,116 and 66,032

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Solution

The third proportional to 47,116 and 66,032 is: 92,542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,116 : 66,032 = 66,032 : x
  2. Step 2: Convert to fraction form
    47,116/66,032 = 66,032/x
  3. Step 3: Cross multiply
    47,116x = 66,032 × 66,032
  4. Step 4: Simplify right side
    47,116x = 4,360,225,024
  5. Step 5: Solve for x
    x = 4,360,225,024/47,116
  6. Step 6: Final answer
    x = 92,542.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.