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Finding the Third Proportional to 34,023.38 and 49,847.06

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Solution

The third proportional to 34,023.38 and 49,847.06 is: 73,030.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,023.38 : 49,847.06 = 49,847.06 : x
  2. Step 2: Convert to fraction form
    34,023.38/49,847.06 = 49,847.06/x
  3. Step 3: Cross multiply
    34,023.38x = 49,847.06 × 49,847.06
  4. Step 4: Simplify right side
    34,023.38x = 2,484,729,639.88
  5. Step 5: Solve for x
    x = 2,484,729,639.88/34,023.38
  6. Step 6: Final answer
    x = 73,030.08

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.