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Finding the Third Proportional to 47,808 and 73,728

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Solution

The third proportional to 47,808 and 73,728 is: 113,701.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,808 : 73,728 = 73,728 : x
  2. Step 2: Convert to fraction form
    47,808/73,728 = 73,728/x
  3. Step 3: Cross multiply
    47,808x = 73,728 × 73,728
  4. Step 4: Simplify right side
    47,808x = 5,435,817,984
  5. Step 5: Solve for x
    x = 5,435,817,984/47,808
  6. Step 6: Final answer
    x = 113,701.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.