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Finding the Third Proportional to 1,597 and 3,428

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Solution

The third proportional to 1,597 and 3,428 is: 7,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597 : 3,428 = 3,428 : x
  2. Step 2: Convert to fraction form
    1,597/3,428 = 3,428/x
  3. Step 3: Cross multiply
    1,597x = 3,428 × 3,428
  4. Step 4: Simplify right side
    1,597x = 11,751,184
  5. Step 5: Solve for x
    x = 11,751,184/1,597
  6. Step 6: Final answer
    x = 7,358.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.