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Finding the Third Proportional to 43,314.89 and 64,796.06

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Solution

The third proportional to 43,314.89 and 64,796.06 is: 96,930.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,314.89 : 64,796.06 = 64,796.06 : x
  2. Step 2: Convert to fraction form
    43,314.89/64,796.06 = 64,796.06/x
  3. Step 3: Cross multiply
    43,314.89x = 64,796.06 × 64,796.06
  4. Step 4: Simplify right side
    43,314.89x = 4,198,529,715.50
  5. Step 5: Solve for x
    x = 4,198,529,715.50/43,314.89
  6. Step 6: Final answer
    x = 96,930.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.