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Finding the Third Proportional to 10,749 and 16,065.75

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Solution

The third proportional to 10,749 and 16,065.75 is: 24,012.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,749 : 16,065.75 = 16,065.75 : x
  2. Step 2: Convert to fraction form
    10,749/16,065.75 = 16,065.75/x
  3. Step 3: Cross multiply
    10,749x = 16,065.75 × 16,065.75
  4. Step 4: Simplify right side
    10,749x = 258,108,323.06
  5. Step 5: Solve for x
    x = 258,108,323.06/10,749
  6. Step 6: Final answer
    x = 24,012.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.