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Finding the Third Proportional to 33,970.50 and 46,131

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Solution

The third proportional to 33,970.50 and 46,131 is: 62,644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,970.50 : 46,131 = 46,131 : x
  2. Step 2: Convert to fraction form
    33,970.50/46,131 = 46,131/x
  3. Step 3: Cross multiply
    33,970.50x = 46,131 × 46,131
  4. Step 4: Simplify right side
    33,970.50x = 2,128,069,161
  5. Step 5: Solve for x
    x = 2,128,069,161/33,970.50
  6. Step 6: Final answer
    x = 62,644.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.