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Finding the Third Proportional to 32,641.31 and 44,038.69

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Solution

The third proportional to 32,641.31 and 44,038.69 is: 59,415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,641.31 : 44,038.69 = 44,038.69 : x
  2. Step 2: Convert to fraction form
    32,641.31/44,038.69 = 44,038.69/x
  3. Step 3: Cross multiply
    32,641.31x = 44,038.69 × 44,038.69
  4. Step 4: Simplify right side
    32,641.31x = 1,939,405,996.72
  5. Step 5: Solve for x
    x = 1,939,405,996.72/32,641.31
  6. Step 6: Final answer
    x = 59,415.69

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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.