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Finding the Third Proportional to 23,400 and 44,646

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Solution

The third proportional to 23,400 and 44,646 is: 85,182.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,400 : 44,646 = 44,646 : x
  2. Step 2: Convert to fraction form
    23,400/44,646 = 44,646/x
  3. Step 3: Cross multiply
    23,400x = 44,646 × 44,646
  4. Step 4: Simplify right side
    23,400x = 1,993,265,316
  5. Step 5: Solve for x
    x = 1,993,265,316/23,400
  6. Step 6: Final answer
    x = 85,182.28

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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.