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Finding the Third Proportional to 23,412 and 44,664

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Solution

The third proportional to 23,412 and 44,664 is: 85,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412 : 44,664 = 44,664 : x
  2. Step 2: Convert to fraction form
    23,412/44,664 = 44,664/x
  3. Step 3: Cross multiply
    23,412x = 44,664 × 44,664
  4. Step 4: Simplify right side
    23,412x = 1,994,872,896
  5. Step 5: Solve for x
    x = 1,994,872,896/23,412
  6. Step 6: Final answer
    x = 85,207.28

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.