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Finding the Third Proportional to 3,530.63 and 7,739.63

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Solution

The third proportional to 3,530.63 and 7,739.63 is: 16,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.63 : 7,739.63 = 7,739.63 : x
  2. Step 2: Convert to fraction form
    3,530.63/7,739.63 = 7,739.63/x
  3. Step 3: Cross multiply
    3,530.63x = 7,739.63 × 7,739.63
  4. Step 4: Simplify right side
    3,530.63x = 59,901,795.14
  5. Step 5: Solve for x
    x = 59,901,795.14/3,530.63
  6. Step 6: Final answer
    x = 16,966.34

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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.