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Finding the Third Proportional to 43,364 and 63,399

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Solution

The third proportional to 43,364 and 63,399 is: 92,690.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,364 : 63,399 = 63,399 : x
  2. Step 2: Convert to fraction form
    43,364/63,399 = 63,399/x
  3. Step 3: Cross multiply
    43,364x = 63,399 × 63,399
  4. Step 4: Simplify right side
    43,364x = 4,019,433,201
  5. Step 5: Solve for x
    x = 4,019,433,201/43,364
  6. Step 6: Final answer
    x = 92,690.55

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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.