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Finding the Third Proportional to 6,316.50 and 9,908.25

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Solution

The third proportional to 6,316.50 and 9,908.25 is: 15,542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.50 : 9,908.25 = 9,908.25 : x
  2. Step 2: Convert to fraction form
    6,316.50/9,908.25 = 9,908.25/x
  3. Step 3: Cross multiply
    6,316.50x = 9,908.25 × 9,908.25
  4. Step 4: Simplify right side
    6,316.50x = 98,173,418.06
  5. Step 5: Solve for x
    x = 98,173,418.06/6,316.50
  6. Step 6: Final answer
    x = 15,542.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.