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Finding the Third Proportional to 2,985.19 and 6,107.06

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Solution

The third proportional to 2,985.19 and 6,107.06 is: 12,493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.19 : 6,107.06 = 6,107.06 : x
  2. Step 2: Convert to fraction form
    2,985.19/6,107.06 = 6,107.06/x
  3. Step 3: Cross multiply
    2,985.19x = 6,107.06 × 6,107.06
  4. Step 4: Simplify right side
    2,985.19x = 37,296,212.38
  5. Step 5: Solve for x
    x = 37,296,212.38/2,985.19
  6. Step 6: Final answer
    x = 12,493.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.