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Finding the Third Proportional to 19,709.25 and 43,792.50

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Solution

The third proportional to 19,709.25 and 43,792.50 is: 97,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.25 : 43,792.50 = 43,792.50 : x
  2. Step 2: Convert to fraction form
    19,709.25/43,792.50 = 43,792.50/x
  3. Step 3: Cross multiply
    19,709.25x = 43,792.50 × 43,792.50
  4. Step 4: Simplify right side
    19,709.25x = 1,917,783,056.25
  5. Step 5: Solve for x
    x = 1,917,783,056.25/19,709.25
  6. Step 6: Final answer
    x = 97,303.71

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.