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Finding the Third Proportional to 15,574 and 32,254

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Solution

The third proportional to 15,574 and 32,254 is: 66,798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,574 : 32,254 = 32,254 : x
  2. Step 2: Convert to fraction form
    15,574/32,254 = 32,254/x
  3. Step 3: Cross multiply
    15,574x = 32,254 × 32,254
  4. Step 4: Simplify right side
    15,574x = 1,040,320,516
  5. Step 5: Solve for x
    x = 1,040,320,516/15,574
  6. Step 6: Final answer
    x = 66,798.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.