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Finding the Third Proportional to 47,993.50 and 71,490

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Solution

The third proportional to 47,993.50 and 71,490 is: 106,489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,993.50 : 71,490 = 71,490 : x
  2. Step 2: Convert to fraction form
    47,993.50/71,490 = 71,490/x
  3. Step 3: Cross multiply
    47,993.50x = 71,490 × 71,490
  4. Step 4: Simplify right side
    47,993.50x = 5,110,820,100
  5. Step 5: Solve for x
    x = 5,110,820,100/47,993.50
  6. Step 6: Final answer
    x = 106,489.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.