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Finding the Third Proportional to 7,331.77 and 9,961.10

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Solution

The third proportional to 7,331.77 and 9,961.10 is: 13,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331.77 : 9,961.10 = 9,961.10 : x
  2. Step 2: Convert to fraction form
    7,331.77/9,961.10 = 9,961.10/x
  3. Step 3: Cross multiply
    7,331.77x = 9,961.10 × 9,961.10
  4. Step 4: Simplify right side
    7,331.77x = 99,223,544.34
  5. Step 5: Solve for x
    x = 99,223,544.34/7,331.77
  6. Step 6: Final answer
    x = 13,533.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.