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Finding the Third Proportional to 47,480 and 67,852

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Solution

The third proportional to 47,480 and 67,852 is: 96,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,480 : 67,852 = 67,852 : x
  2. Step 2: Convert to fraction form
    47,480/67,852 = 67,852/x
  3. Step 3: Cross multiply
    47,480x = 67,852 × 67,852
  4. Step 4: Simplify right side
    47,480x = 4,603,893,904
  5. Step 5: Solve for x
    x = 4,603,893,904/47,480
  6. Step 6: Final answer
    x = 96,964.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.