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Finding the Third Proportional to 9,636 and 15,262

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Solution

The third proportional to 9,636 and 15,262 is: 24,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636 : 15,262 = 15,262 : x
  2. Step 2: Convert to fraction form
    9,636/15,262 = 15,262/x
  3. Step 3: Cross multiply
    9,636x = 15,262 × 15,262
  4. Step 4: Simplify right side
    9,636x = 232,928,644
  5. Step 5: Solve for x
    x = 232,928,644/9,636
  6. Step 6: Final answer
    x = 24,172.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.