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Finding the Third Proportional to 46,689 and 70,164.75

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Solution

The third proportional to 46,689 and 70,164.75 is: 105,444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,689 : 70,164.75 = 70,164.75 : x
  2. Step 2: Convert to fraction form
    46,689/70,164.75 = 70,164.75/x
  3. Step 3: Cross multiply
    46,689x = 70,164.75 × 70,164.75
  4. Step 4: Simplify right side
    46,689x = 4,923,092,142.56
  5. Step 5: Solve for x
    x = 4,923,092,142.56/46,689
  6. Step 6: Final answer
    x = 105,444.37

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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.