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Finding the Third Proportional to 47,814.75 and 70,263.56

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Solution

The third proportional to 47,814.75 and 70,263.56 is: 103,251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,814.75 : 70,263.56 = 70,263.56 : x
  2. Step 2: Convert to fraction form
    47,814.75/70,263.56 = 70,263.56/x
  3. Step 3: Cross multiply
    47,814.75x = 70,263.56 × 70,263.56
  4. Step 4: Simplify right side
    47,814.75x = 4,936,968,215.19
  5. Step 5: Solve for x
    x = 4,936,968,215.19/47,814.75
  6. Step 6: Final answer
    x = 103,251.99

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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.