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Finding the Third Proportional to 44,606 and 66,673

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Solution

The third proportional to 44,606 and 66,673 is: 99,656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,606 : 66,673 = 66,673 : x
  2. Step 2: Convert to fraction form
    44,606/66,673 = 66,673/x
  3. Step 3: Cross multiply
    44,606x = 66,673 × 66,673
  4. Step 4: Simplify right side
    44,606x = 4,445,288,929
  5. Step 5: Solve for x
    x = 4,445,288,929/44,606
  6. Step 6: Final answer
    x = 99,656.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.