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Finding the Third Proportional to 9,546 and 15,243

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Solution

The third proportional to 9,546 and 15,243 is: 24,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546 : 15,243 = 15,243 : x
  2. Step 2: Convert to fraction form
    9,546/15,243 = 15,243/x
  3. Step 3: Cross multiply
    9,546x = 15,243 × 15,243
  4. Step 4: Simplify right side
    9,546x = 232,349,049
  5. Step 5: Solve for x
    x = 232,349,049/9,546
  6. Step 6: Final answer
    x = 24,339.94

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.