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Finding the Third Proportional to 15,574 and 18,997

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Solution

The third proportional to 15,574 and 18,997 is: 23,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,574 : 18,997 = 18,997 : x
  2. Step 2: Convert to fraction form
    15,574/18,997 = 18,997/x
  3. Step 3: Cross multiply
    15,574x = 18,997 × 18,997
  4. Step 4: Simplify right side
    15,574x = 360,886,009
  5. Step 5: Solve for x
    x = 360,886,009/15,574
  6. Step 6: Final answer
    x = 23,172.34

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.