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Finding the Third Proportional to 47,904 and 72,525

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Solution

The third proportional to 47,904 and 72,525 is: 109,800.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,904 : 72,525 = 72,525 : x
  2. Step 2: Convert to fraction form
    47,904/72,525 = 72,525/x
  3. Step 3: Cross multiply
    47,904x = 72,525 × 72,525
  4. Step 4: Simplify right side
    47,904x = 5,259,875,625
  5. Step 5: Solve for x
    x = 5,259,875,625/47,904
  6. Step 6: Final answer
    x = 109,800.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.