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Finding the Third Proportional to 43,564.87 and 64,537.86

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Solution

The third proportional to 43,564.87 and 64,537.86 is: 95,607.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,564.87 : 64,537.86 = 64,537.86 : x
  2. Step 2: Convert to fraction form
    43,564.87/64,537.86 = 64,537.86/x
  3. Step 3: Cross multiply
    43,564.87x = 64,537.86 × 64,537.86
  4. Step 4: Simplify right side
    43,564.87x = 4,165,135,040.61
  5. Step 5: Solve for x
    x = 4,165,135,040.61/43,564.87
  6. Step 6: Final answer
    x = 95,607.66

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.