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Finding the Third Proportional to 47,784 and 73,509

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Solution

The third proportional to 47,784 and 73,509 is: 113,083.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,784 : 73,509 = 73,509 : x
  2. Step 2: Convert to fraction form
    47,784/73,509 = 73,509/x
  3. Step 3: Cross multiply
    47,784x = 73,509 × 73,509
  4. Step 4: Simplify right side
    47,784x = 5,403,573,081
  5. Step 5: Solve for x
    x = 5,403,573,081/47,784
  6. Step 6: Final answer
    x = 113,083.31

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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.