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Finding the Third Proportional to 47,650.50 and 69,884.25

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Solution

The third proportional to 47,650.50 and 69,884.25 is: 102,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,650.50 : 69,884.25 = 69,884.25 : x
  2. Step 2: Convert to fraction form
    47,650.50/69,884.25 = 69,884.25/x
  3. Step 3: Cross multiply
    47,650.50x = 69,884.25 × 69,884.25
  4. Step 4: Simplify right side
    47,650.50x = 4,883,808,398.06
  5. Step 5: Solve for x
    x = 4,883,808,398.06/47,650.50
  6. Step 6: Final answer
    x = 102,492.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.