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Finding the Third Proportional to 13,000 and 19,434

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Solution

The third proportional to 13,000 and 19,434 is: 29,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000 : 19,434 = 19,434 : x
  2. Step 2: Convert to fraction form
    13,000/19,434 = 19,434/x
  3. Step 3: Cross multiply
    13,000x = 19,434 × 19,434
  4. Step 4: Simplify right side
    13,000x = 377,680,356
  5. Step 5: Solve for x
    x = 377,680,356/13,000
  6. Step 6: Final answer
    x = 29,052.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.