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Finding the Third Proportional to 28,154.50 and 59,933

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Solution

The third proportional to 28,154.50 and 59,933 is: 127,580.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,154.50 : 59,933 = 59,933 : x
  2. Step 2: Convert to fraction form
    28,154.50/59,933 = 59,933/x
  3. Step 3: Cross multiply
    28,154.50x = 59,933 × 59,933
  4. Step 4: Simplify right side
    28,154.50x = 3,591,964,489
  5. Step 5: Solve for x
    x = 3,591,964,489/28,154.50
  6. Step 6: Final answer
    x = 127,580.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.