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Finding the Third Proportional to 1,390 and 3,028

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Solution

The third proportional to 1,390 and 3,028 is: 6,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390 : 3,028 = 3,028 : x
  2. Step 2: Convert to fraction form
    1,390/3,028 = 3,028/x
  3. Step 3: Cross multiply
    1,390x = 3,028 × 3,028
  4. Step 4: Simplify right side
    1,390x = 9,168,784
  5. Step 5: Solve for x
    x = 9,168,784/1,390
  6. Step 6: Final answer
    x = 6,596.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.