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Finding the Third Proportional to 15,080.50 and 22,933

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Solution

The third proportional to 15,080.50 and 22,933 is: 34,874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,080.50 : 22,933 = 22,933 : x
  2. Step 2: Convert to fraction form
    15,080.50/22,933 = 22,933/x
  3. Step 3: Cross multiply
    15,080.50x = 22,933 × 22,933
  4. Step 4: Simplify right side
    15,080.50x = 525,922,489
  5. Step 5: Solve for x
    x = 525,922,489/15,080.50
  6. Step 6: Final answer
    x = 34,874.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.