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Finding the Third Proportional to 19,438 and 29,885

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Solution

The third proportional to 19,438 and 29,885 is: 45,946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,438 : 29,885 = 29,885 : x
  2. Step 2: Convert to fraction form
    19,438/29,885 = 29,885/x
  3. Step 3: Cross multiply
    19,438x = 29,885 × 29,885
  4. Step 4: Simplify right side
    19,438x = 893,113,225
  5. Step 5: Solve for x
    x = 893,113,225/19,438
  6. Step 6: Final answer
    x = 45,946.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.