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Finding the Third Proportional to 15,334 and 23,820

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Solution

The third proportional to 15,334 and 23,820 is: 37,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,334 : 23,820 = 23,820 : x
  2. Step 2: Convert to fraction form
    15,334/23,820 = 23,820/x
  3. Step 3: Cross multiply
    15,334x = 23,820 × 23,820
  4. Step 4: Simplify right side
    15,334x = 567,392,400
  5. Step 5: Solve for x
    x = 567,392,400/15,334
  6. Step 6: Final answer
    x = 37,002.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.