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Finding the Third Proportional to 19,114.59 and 44,972.72

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Solution

The third proportional to 19,114.59 and 44,972.72 is: 105,811.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,114.59 : 44,972.72 = 44,972.72 : x
  2. Step 2: Convert to fraction form
    19,114.59/44,972.72 = 44,972.72/x
  3. Step 3: Cross multiply
    19,114.59x = 44,972.72 × 44,972.72
  4. Step 4: Simplify right side
    19,114.59x = 2,022,545,431.77
  5. Step 5: Solve for x
    x = 2,022,545,431.77/19,114.59
  6. Step 6: Final answer
    x = 105,811.58

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.