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Finding the Third Proportional to 47,121.75 and 61,934.63

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Solution

The third proportional to 47,121.75 and 61,934.63 is: 81,403.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,121.75 : 61,934.63 = 61,934.63 : x
  2. Step 2: Convert to fraction form
    47,121.75/61,934.63 = 61,934.63/x
  3. Step 3: Cross multiply
    47,121.75x = 61,934.63 × 61,934.63
  4. Step 4: Simplify right side
    47,121.75x = 3,835,897,773.89
  5. Step 5: Solve for x
    x = 3,835,897,773.89/47,121.75
  6. Step 6: Final answer
    x = 81,403.98

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.