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Finding the Third Proportional to 45,319.50 and 60,466.50

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Solution

The third proportional to 45,319.50 and 60,466.50 is: 80,676.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,319.50 : 60,466.50 = 60,466.50 : x
  2. Step 2: Convert to fraction form
    45,319.50/60,466.50 = 60,466.50/x
  3. Step 3: Cross multiply
    45,319.50x = 60,466.50 × 60,466.50
  4. Step 4: Simplify right side
    45,319.50x = 3,656,197,622.25
  5. Step 5: Solve for x
    x = 3,656,197,622.25/45,319.50
  6. Step 6: Final answer
    x = 80,676.04

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.