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Finding the Third Proportional to 15,426 and 23,793

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Solution

The third proportional to 15,426 and 23,793 is: 36,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,426 : 23,793 = 23,793 : x
  2. Step 2: Convert to fraction form
    15,426/23,793 = 23,793/x
  3. Step 3: Cross multiply
    15,426x = 23,793 × 23,793
  4. Step 4: Simplify right side
    15,426x = 566,106,849
  5. Step 5: Solve for x
    x = 566,106,849/15,426
  6. Step 6: Final answer
    x = 36,698.23

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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.