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Finding the Third Proportional to 44,523 and 66,676.50

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Solution

The third proportional to 44,523 and 66,676.50 is: 99,853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,523 : 66,676.50 = 66,676.50 : x
  2. Step 2: Convert to fraction form
    44,523/66,676.50 = 66,676.50/x
  3. Step 3: Cross multiply
    44,523x = 66,676.50 × 66,676.50
  4. Step 4: Simplify right side
    44,523x = 4,445,755,652.25
  5. Step 5: Solve for x
    x = 4,445,755,652.25/44,523
  6. Step 6: Final answer
    x = 99,853.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.