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Finding the Third Proportional to 23,664 and 36,416

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Solution

The third proportional to 23,664 and 36,416 is: 56,039.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,664 : 36,416 = 36,416 : x
  2. Step 2: Convert to fraction form
    23,664/36,416 = 36,416/x
  3. Step 3: Cross multiply
    23,664x = 36,416 × 36,416
  4. Step 4: Simplify right side
    23,664x = 1,326,125,056
  5. Step 5: Solve for x
    x = 1,326,125,056/23,664
  6. Step 6: Final answer
    x = 56,039.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.