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Finding the Third Proportional to 23,114.81 and 33,848.72

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Solution

The third proportional to 23,114.81 and 33,848.72 is: 49,567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.81 : 33,848.72 = 33,848.72 : x
  2. Step 2: Convert to fraction form
    23,114.81/33,848.72 = 33,848.72/x
  3. Step 3: Cross multiply
    23,114.81x = 33,848.72 × 33,848.72
  4. Step 4: Simplify right side
    23,114.81x = 1,145,735,761.02
  5. Step 5: Solve for x
    x = 1,145,735,761.02/23,114.81
  6. Step 6: Final answer
    x = 49,567.17

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.