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Finding the Third Proportional to 32,638.22 and 44,036.16

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Solution

The third proportional to 32,638.22 and 44,036.16 is: 59,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,638.22 : 44,036.16 = 44,036.16 : x
  2. Step 2: Convert to fraction form
    32,638.22/44,036.16 = 44,036.16/x
  3. Step 3: Cross multiply
    32,638.22x = 44,036.16 × 44,036.16
  4. Step 4: Simplify right side
    32,638.22x = 1,939,183,057.27
  5. Step 5: Solve for x
    x = 1,939,183,057.27/32,638.22
  6. Step 6: Final answer
    x = 59,414.49

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.