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Finding the Third Proportional to 19,629 and 43,807.50

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Solution

The third proportional to 19,629 and 43,807.50 is: 97,768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,629 : 43,807.50 = 43,807.50 : x
  2. Step 2: Convert to fraction form
    19,629/43,807.50 = 43,807.50/x
  3. Step 3: Cross multiply
    19,629x = 43,807.50 × 43,807.50
  4. Step 4: Simplify right side
    19,629x = 1,919,097,056.25
  5. Step 5: Solve for x
    x = 1,919,097,056.25/19,629
  6. Step 6: Final answer
    x = 97,768.46

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.