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Finding the Third Proportional to 1,465 and 3,174

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Solution

The third proportional to 1,465 and 3,174 is: 6,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465 : 3,174 = 3,174 : x
  2. Step 2: Convert to fraction form
    1,465/3,174 = 3,174/x
  3. Step 3: Cross multiply
    1,465x = 3,174 × 3,174
  4. Step 4: Simplify right side
    1,465x = 10,074,276
  5. Step 5: Solve for x
    x = 10,074,276/1,465
  6. Step 6: Final answer
    x = 6,876.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.