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Finding the Third Proportional to 9,536 and 23,184

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Solution

The third proportional to 9,536 and 23,184 is: 56,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536 : 23,184 = 23,184 : x
  2. Step 2: Convert to fraction form
    9,536/23,184 = 23,184/x
  3. Step 3: Cross multiply
    9,536x = 23,184 × 23,184
  4. Step 4: Simplify right side
    9,536x = 537,497,856
  5. Step 5: Solve for x
    x = 537,497,856/9,536
  6. Step 6: Final answer
    x = 56,365.13

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.