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Finding the Third Proportional to 34,356 and 72,924

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Solution

The third proportional to 34,356 and 72,924 is: 154,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,356 : 72,924 = 72,924 : x
  2. Step 2: Convert to fraction form
    34,356/72,924 = 72,924/x
  3. Step 3: Cross multiply
    34,356x = 72,924 × 72,924
  4. Step 4: Simplify right side
    34,356x = 5,317,909,776
  5. Step 5: Solve for x
    x = 5,317,909,776/34,356
  6. Step 6: Final answer
    x = 154,788.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.