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Finding the Third Proportional to 31,123.50 and 44,741.25

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Solution

The third proportional to 31,123.50 and 44,741.25 is: 64,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,123.50 : 44,741.25 = 44,741.25 : x
  2. Step 2: Convert to fraction form
    31,123.50/44,741.25 = 44,741.25/x
  3. Step 3: Cross multiply
    31,123.50x = 44,741.25 × 44,741.25
  4. Step 4: Simplify right side
    31,123.50x = 2,001,779,451.56
  5. Step 5: Solve for x
    x = 2,001,779,451.56/31,123.50
  6. Step 6: Final answer
    x = 64,317.30

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.