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Finding the Third Proportional to 36,445.50 and 48,436.50

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Solution

The third proportional to 36,445.50 and 48,436.50 is: 64,372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,445.50 : 48,436.50 = 48,436.50 : x
  2. Step 2: Convert to fraction form
    36,445.50/48,436.50 = 48,436.50/x
  3. Step 3: Cross multiply
    36,445.50x = 48,436.50 × 48,436.50
  4. Step 4: Simplify right side
    36,445.50x = 2,346,094,532.25
  5. Step 5: Solve for x
    x = 2,346,094,532.25/36,445.50
  6. Step 6: Final answer
    x = 64,372.68

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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.