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Finding the Third Proportional to 9,500 and 15,263

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Solution

The third proportional to 9,500 and 15,263 is: 24,522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500 : 15,263 = 15,263 : x
  2. Step 2: Convert to fraction form
    9,500/15,263 = 15,263/x
  3. Step 3: Cross multiply
    9,500x = 15,263 × 15,263
  4. Step 4: Simplify right side
    9,500x = 232,959,169
  5. Step 5: Solve for x
    x = 232,959,169/9,500
  6. Step 6: Final answer
    x = 24,522.02

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.