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Finding the Third Proportional to 15,444 and 31,433

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Solution

The third proportional to 15,444 and 31,433 is: 63,975.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,444 : 31,433 = 31,433 : x
  2. Step 2: Convert to fraction form
    15,444/31,433 = 31,433/x
  3. Step 3: Cross multiply
    15,444x = 31,433 × 31,433
  4. Step 4: Simplify right side
    15,444x = 988,033,489
  5. Step 5: Solve for x
    x = 988,033,489/15,444
  6. Step 6: Final answer
    x = 63,975.23

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.