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Finding the Third Proportional to 32,924 and 72,094

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Solution

The third proportional to 32,924 and 72,094 is: 157,864.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,924 : 72,094 = 72,094 : x
  2. Step 2: Convert to fraction form
    32,924/72,094 = 72,094/x
  3. Step 3: Cross multiply
    32,924x = 72,094 × 72,094
  4. Step 4: Simplify right side
    32,924x = 5,197,544,836
  5. Step 5: Solve for x
    x = 5,197,544,836/32,924
  6. Step 6: Final answer
    x = 157,864.93

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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.