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Finding the Third Proportional to 3,425.63 and 7,565.06

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Solution

The third proportional to 3,425.63 and 7,565.06 is: 16,706.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.63 : 7,565.06 = 7,565.06 : x
  2. Step 2: Convert to fraction form
    3,425.63/7,565.06 = 7,565.06/x
  3. Step 3: Cross multiply
    3,425.63x = 7,565.06 × 7,565.06
  4. Step 4: Simplify right side
    3,425.63x = 57,230,170.63
  5. Step 5: Solve for x
    x = 57,230,170.63/3,425.63
  6. Step 6: Final answer
    x = 16,706.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.