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Finding the Third Proportional to 46,945.50 and 70,404

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Solution

The third proportional to 46,945.50 and 70,404 is: 105,584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,945.50 : 70,404 = 70,404 : x
  2. Step 2: Convert to fraction form
    46,945.50/70,404 = 70,404/x
  3. Step 3: Cross multiply
    46,945.50x = 70,404 × 70,404
  4. Step 4: Simplify right side
    46,945.50x = 4,956,723,216
  5. Step 5: Solve for x
    x = 4,956,723,216/46,945.50
  6. Step 6: Final answer
    x = 105,584.63

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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.