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Finding the Third Proportional to 43,303.50 and 64,782

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Solution

The third proportional to 43,303.50 and 64,782 is: 96,913.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,303.50 : 64,782 = 64,782 : x
  2. Step 2: Convert to fraction form
    43,303.50/64,782 = 64,782/x
  3. Step 3: Cross multiply
    43,303.50x = 64,782 × 64,782
  4. Step 4: Simplify right side
    43,303.50x = 4,196,707,524
  5. Step 5: Solve for x
    x = 4,196,707,524/43,303.50
  6. Step 6: Final answer
    x = 96,913.82

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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.