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Finding the Third Proportional to 15,224 and 23,560

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Solution

The third proportional to 15,224 and 23,560 is: 36,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,224 : 23,560 = 23,560 : x
  2. Step 2: Convert to fraction form
    15,224/23,560 = 23,560/x
  3. Step 3: Cross multiply
    15,224x = 23,560 × 23,560
  4. Step 4: Simplify right side
    15,224x = 555,073,600
  5. Step 5: Solve for x
    x = 555,073,600/15,224
  6. Step 6: Final answer
    x = 36,460.43

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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.