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Finding the Third Proportional to 23,429 and 37,229

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Solution

The third proportional to 23,429 and 37,229 is: 59,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,429 : 37,229 = 37,229 : x
  2. Step 2: Convert to fraction form
    23,429/37,229 = 37,229/x
  3. Step 3: Cross multiply
    23,429x = 37,229 × 37,229
  4. Step 4: Simplify right side
    23,429x = 1,385,998,441
  5. Step 5: Solve for x
    x = 1,385,998,441/23,429
  6. Step 6: Final answer
    x = 59,157.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.