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Finding the Third Proportional to 43,846.59 and 64,129.64

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Solution

The third proportional to 43,846.59 and 64,129.64 is: 93,795.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,846.59 : 64,129.64 = 64,129.64 : x
  2. Step 2: Convert to fraction form
    43,846.59/64,129.64 = 64,129.64/x
  3. Step 3: Cross multiply
    43,846.59x = 64,129.64 × 64,129.64
  4. Step 4: Simplify right side
    43,846.59x = 4,112,610,806.69
  5. Step 5: Solve for x
    x = 4,112,610,806.69/43,846.59
  6. Step 6: Final answer
    x = 93,795.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.