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Finding the Third Proportional to 32,343.75 and 44,537.63

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Solution

The third proportional to 32,343.75 and 44,537.63 is: 61,328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,343.75 : 44,537.63 = 44,537.63 : x
  2. Step 2: Convert to fraction form
    32,343.75/44,537.63 = 44,537.63/x
  3. Step 3: Cross multiply
    32,343.75x = 44,537.63 × 44,537.63
  4. Step 4: Simplify right side
    32,343.75x = 1,983,600,040.64
  5. Step 5: Solve for x
    x = 1,983,600,040.64/32,343.75
  6. Step 6: Final answer
    x = 61,328.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.