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Finding the Third Proportional to 47,008.69 and 70,912.13

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Solution

The third proportional to 47,008.69 and 70,912.13 is: 106,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,008.69 : 70,912.13 = 70,912.13 : x
  2. Step 2: Convert to fraction form
    47,008.69/70,912.13 = 70,912.13/x
  3. Step 3: Cross multiply
    47,008.69x = 70,912.13 × 70,912.13
  4. Step 4: Simplify right side
    47,008.69x = 5,028,529,472.02
  5. Step 5: Solve for x
    x = 5,028,529,472.02/47,008.69
  6. Step 6: Final answer
    x = 106,970.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.