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Finding the Third Proportional to 17,031 and 28,144.50

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Solution

The third proportional to 17,031 and 28,144.50 is: 46,510.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,031 : 28,144.50 = 28,144.50 : x
  2. Step 2: Convert to fraction form
    17,031/28,144.50 = 28,144.50/x
  3. Step 3: Cross multiply
    17,031x = 28,144.50 × 28,144.50
  4. Step 4: Simplify right side
    17,031x = 792,112,880.25
  5. Step 5: Solve for x
    x = 792,112,880.25/17,031
  6. Step 6: Final answer
    x = 46,510.06

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.