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Finding the Third Proportional to 15,500 and 34,444

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Solution

The third proportional to 15,500 and 34,444 is: 76,541.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,500 : 34,444 = 34,444 : x
  2. Step 2: Convert to fraction form
    15,500/34,444 = 34,444/x
  3. Step 3: Cross multiply
    15,500x = 34,444 × 34,444
  4. Step 4: Simplify right side
    15,500x = 1,186,389,136
  5. Step 5: Solve for x
    x = 1,186,389,136/15,500
  6. Step 6: Final answer
    x = 76,541.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.