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Finding the Third Proportional to 15,574 and 40,933

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Solution

The third proportional to 15,574 and 40,933 is: 107,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,574 : 40,933 = 40,933 : x
  2. Step 2: Convert to fraction form
    15,574/40,933 = 40,933/x
  3. Step 3: Cross multiply
    15,574x = 40,933 × 40,933
  4. Step 4: Simplify right side
    15,574x = 1,675,510,489
  5. Step 5: Solve for x
    x = 1,675,510,489/15,574
  6. Step 6: Final answer
    x = 107,583.82

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.