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Finding the Third Proportional to 3,020 and 4,156

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Solution

The third proportional to 3,020 and 4,156 is: 5,719.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020 : 4,156 = 4,156 : x
  2. Step 2: Convert to fraction form
    3,020/4,156 = 4,156/x
  3. Step 3: Cross multiply
    3,020x = 4,156 × 4,156
  4. Step 4: Simplify right side
    3,020x = 17,272,336
  5. Step 5: Solve for x
    x = 17,272,336/3,020
  6. Step 6: Final answer
    x = 5,719.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.