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Finding the Third Proportional to 46,399 and 72,029

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Solution

The third proportional to 46,399 and 72,029 is: 111,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,399 : 72,029 = 72,029 : x
  2. Step 2: Convert to fraction form
    46,399/72,029 = 72,029/x
  3. Step 3: Cross multiply
    46,399x = 72,029 × 72,029
  4. Step 4: Simplify right side
    46,399x = 5,188,176,841
  5. Step 5: Solve for x
    x = 5,188,176,841/46,399
  6. Step 6: Final answer
    x = 111,816.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.