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Finding the Third Proportional to 19,487 and 47,118

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Solution

The third proportional to 19,487 and 47,118 is: 113,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,487 : 47,118 = 47,118 : x
  2. Step 2: Convert to fraction form
    19,487/47,118 = 47,118/x
  3. Step 3: Cross multiply
    19,487x = 47,118 × 47,118
  4. Step 4: Simplify right side
    19,487x = 2,220,105,924
  5. Step 5: Solve for x
    x = 2,220,105,924/19,487
  6. Step 6: Final answer
    x = 113,927.54

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.