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Finding the Third Proportional to 20,294 and 47,434

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Solution

The third proportional to 20,294 and 47,434 is: 110,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,294 : 47,434 = 47,434 : x
  2. Step 2: Convert to fraction form
    20,294/47,434 = 47,434/x
  3. Step 3: Cross multiply
    20,294x = 47,434 × 47,434
  4. Step 4: Simplify right side
    20,294x = 2,249,984,356
  5. Step 5: Solve for x
    x = 2,249,984,356/20,294
  6. Step 6: Final answer
    x = 110,869.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.