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Finding the Third Proportional to 47,617.88 and 69,953.63

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Solution

The third proportional to 47,617.88 and 69,953.63 is: 102,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,617.88 : 69,953.63 = 69,953.63 : x
  2. Step 2: Convert to fraction form
    47,617.88/69,953.63 = 69,953.63/x
  3. Step 3: Cross multiply
    47,617.88x = 69,953.63 × 69,953.63
  4. Step 4: Simplify right side
    47,617.88x = 4,893,509,650.64
  5. Step 5: Solve for x
    x = 4,893,509,650.64/47,617.88
  6. Step 6: Final answer
    x = 102,766.23

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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.