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Finding the Third Proportional to 31,999.50 and 48,440.25

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Solution

The third proportional to 31,999.50 and 48,440.25 is: 73,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,999.50 : 48,440.25 = 48,440.25 : x
  2. Step 2: Convert to fraction form
    31,999.50/48,440.25 = 48,440.25/x
  3. Step 3: Cross multiply
    31,999.50x = 48,440.25 × 48,440.25
  4. Step 4: Simplify right side
    31,999.50x = 2,346,457,820.06
  5. Step 5: Solve for x
    x = 2,346,457,820.06/31,999.50
  6. Step 6: Final answer
    x = 73,327.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.