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Finding the Third Proportional to 11,576 and 15,264

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Solution

The third proportional to 11,576 and 15,264 is: 20,126.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576 : 15,264 = 15,264 : x
  2. Step 2: Convert to fraction form
    11,576/15,264 = 15,264/x
  3. Step 3: Cross multiply
    11,576x = 15,264 × 15,264
  4. Step 4: Simplify right side
    11,576x = 232,989,696
  5. Step 5: Solve for x
    x = 232,989,696/11,576
  6. Step 6: Final answer
    x = 20,126.96

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.