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Finding the Third Proportional to 1,546 and 2,319

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Solution

The third proportional to 1,546 and 2,319 is: 3,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546 : 2,319 = 2,319 : x
  2. Step 2: Convert to fraction form
    1,546/2,319 = 2,319/x
  3. Step 3: Cross multiply
    1,546x = 2,319 × 2,319
  4. Step 4: Simplify right side
    1,546x = 5,377,761
  5. Step 5: Solve for x
    x = 5,377,761/1,546
  6. Step 6: Final answer
    x = 3,478.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.