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Finding the Third Proportional to 19,374 and 29,793

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Solution

The third proportional to 19,374 and 29,793 is: 45,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,374 : 29,793 = 29,793 : x
  2. Step 2: Convert to fraction form
    19,374/29,793 = 29,793/x
  3. Step 3: Cross multiply
    19,374x = 29,793 × 29,793
  4. Step 4: Simplify right side
    19,374x = 887,622,849
  5. Step 5: Solve for x
    x = 887,622,849/19,374
  6. Step 6: Final answer
    x = 45,815.16

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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.