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Finding the Third Proportional to 47,218 and 70,937

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Solution

The third proportional to 47,218 and 70,937 is: 106,570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,218 : 70,937 = 70,937 : x
  2. Step 2: Convert to fraction form
    47,218/70,937 = 70,937/x
  3. Step 3: Cross multiply
    47,218x = 70,937 × 70,937
  4. Step 4: Simplify right side
    47,218x = 5,032,057,969
  5. Step 5: Solve for x
    x = 5,032,057,969/47,218
  6. Step 6: Final answer
    x = 106,570.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.