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Finding the Third Proportional to 35,005.50 and 47,162.25

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Solution

The third proportional to 35,005.50 and 47,162.25 is: 63,540.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,005.50 : 47,162.25 = 47,162.25 : x
  2. Step 2: Convert to fraction form
    35,005.50/47,162.25 = 47,162.25/x
  3. Step 3: Cross multiply
    35,005.50x = 47,162.25 × 47,162.25
  4. Step 4: Simplify right side
    35,005.50x = 2,224,277,825.06
  5. Step 5: Solve for x
    x = 2,224,277,825.06/35,005.50
  6. Step 6: Final answer
    x = 63,540.81

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.