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Finding the Third Proportional to 23,730 and 34,371

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Solution

The third proportional to 23,730 and 34,371 is: 49,783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,730 : 34,371 = 34,371 : x
  2. Step 2: Convert to fraction form
    23,730/34,371 = 34,371/x
  3. Step 3: Cross multiply
    23,730x = 34,371 × 34,371
  4. Step 4: Simplify right side
    23,730x = 1,181,365,641
  5. Step 5: Solve for x
    x = 1,181,365,641/23,730
  6. Step 6: Final answer
    x = 49,783.63

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.