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Finding the Third Proportional to 27,933 and 63,172.50

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Solution

The third proportional to 27,933 and 63,172.50 is: 142,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,933 : 63,172.50 = 63,172.50 : x
  2. Step 2: Convert to fraction form
    27,933/63,172.50 = 63,172.50/x
  3. Step 3: Cross multiply
    27,933x = 63,172.50 × 63,172.50
  4. Step 4: Simplify right side
    27,933x = 3,990,764,756.25
  5. Step 5: Solve for x
    x = 3,990,764,756.25/27,933
  6. Step 6: Final answer
    x = 142,869.18

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.