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Finding the Third Proportional to 3,029.91 and 3,527.30

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Solution

The third proportional to 3,029.91 and 3,527.30 is: 4,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.91 : 3,527.30 = 3,527.30 : x
  2. Step 2: Convert to fraction form
    3,029.91/3,527.30 = 3,527.30/x
  3. Step 3: Cross multiply
    3,029.91x = 3,527.30 × 3,527.30
  4. Step 4: Simplify right side
    3,029.91x = 12,441,823.24
  5. Step 5: Solve for x
    x = 12,441,823.24/3,029.91
  6. Step 6: Final answer
    x = 4,106.34

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.