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Finding the Third Proportional to 3,020 and 3,332

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Solution

The third proportional to 3,020 and 3,332 is: 3,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020 : 3,332 = 3,332 : x
  2. Step 2: Convert to fraction form
    3,020/3,332 = 3,332/x
  3. Step 3: Cross multiply
    3,020x = 3,332 × 3,332
  4. Step 4: Simplify right side
    3,020x = 11,102,224
  5. Step 5: Solve for x
    x = 11,102,224/3,020
  6. Step 6: Final answer
    x = 3,676.23

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.