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Finding the Third Proportional to 33,970 and 51,468

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Solution

The third proportional to 33,970 and 51,468 is: 77,979.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,970 : 51,468 = 51,468 : x
  2. Step 2: Convert to fraction form
    33,970/51,468 = 51,468/x
  3. Step 3: Cross multiply
    33,970x = 51,468 × 51,468
  4. Step 4: Simplify right side
    33,970x = 2,648,955,024
  5. Step 5: Solve for x
    x = 2,648,955,024/33,970
  6. Step 6: Final answer
    x = 77,979.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.