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Finding the Third Proportional to 23,564 and 36,642

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Solution

The third proportional to 23,564 and 36,642 is: 56,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564 : 36,642 = 36,642 : x
  2. Step 2: Convert to fraction form
    23,564/36,642 = 36,642/x
  3. Step 3: Cross multiply
    23,564x = 36,642 × 36,642
  4. Step 4: Simplify right side
    23,564x = 1,342,636,164
  5. Step 5: Solve for x
    x = 1,342,636,164/23,564
  6. Step 6: Final answer
    x = 56,978.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.