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Finding the Third Proportional to 7,749 and 16,962.75

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Solution

The third proportional to 7,749 and 16,962.75 is: 37,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749 : 16,962.75 = 16,962.75 : x
  2. Step 2: Convert to fraction form
    7,749/16,962.75 = 16,962.75/x
  3. Step 3: Cross multiply
    7,749x = 16,962.75 × 16,962.75
  4. Step 4: Simplify right side
    7,749x = 287,734,887.56
  5. Step 5: Solve for x
    x = 287,734,887.56/7,749
  6. Step 6: Final answer
    x = 37,131.87

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.