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Finding the Third Proportional to 19,400 and 29,460

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Solution

The third proportional to 19,400 and 29,460 is: 44,736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,400 : 29,460 = 29,460 : x
  2. Step 2: Convert to fraction form
    19,400/29,460 = 29,460/x
  3. Step 3: Cross multiply
    19,400x = 29,460 × 29,460
  4. Step 4: Simplify right side
    19,400x = 867,891,600
  5. Step 5: Solve for x
    x = 867,891,600/19,400
  6. Step 6: Final answer
    x = 44,736.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.