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Finding the Third Proportional to 47,625.75 and 69,964.88

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Solution

The third proportional to 47,625.75 and 69,964.88 is: 102,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,625.75 : 69,964.88 = 69,964.88 : x
  2. Step 2: Convert to fraction form
    47,625.75/69,964.88 = 69,964.88/x
  3. Step 3: Cross multiply
    47,625.75x = 69,964.88 × 69,964.88
  4. Step 4: Simplify right side
    47,625.75x = 4,895,083,733.77
  5. Step 5: Solve for x
    x = 4,895,083,733.77/47,625.75
  6. Step 6: Final answer
    x = 102,782.29

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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.