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Finding the Third Proportional to 32,458 and 70,924

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Solution

The third proportional to 32,458 and 70,924 is: 154,976.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,458 : 70,924 = 70,924 : x
  2. Step 2: Convert to fraction form
    32,458/70,924 = 70,924/x
  3. Step 3: Cross multiply
    32,458x = 70,924 × 70,924
  4. Step 4: Simplify right side
    32,458x = 5,030,213,776
  5. Step 5: Solve for x
    x = 5,030,213,776/32,458
  6. Step 6: Final answer
    x = 154,976.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.