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Finding the Third Proportional to 45,642 and 61,050

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Solution

The third proportional to 45,642 and 61,050 is: 81,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,642 : 61,050 = 61,050 : x
  2. Step 2: Convert to fraction form
    45,642/61,050 = 61,050/x
  3. Step 3: Cross multiply
    45,642x = 61,050 × 61,050
  4. Step 4: Simplify right side
    45,642x = 3,727,102,500
  5. Step 5: Solve for x
    x = 3,727,102,500/45,642
  6. Step 6: Final answer
    x = 81,659.49

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.