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Finding the Third Proportional to 3,456 and 4,536

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Solution

The third proportional to 3,456 and 4,536 is: 5,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456 : 4,536 = 4,536 : x
  2. Step 2: Convert to fraction form
    3,456/4,536 = 4,536/x
  3. Step 3: Cross multiply
    3,456x = 4,536 × 4,536
  4. Step 4: Simplify right side
    3,456x = 20,575,296
  5. Step 5: Solve for x
    x = 20,575,296/3,456
  6. Step 6: Final answer
    x = 5,953.50

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.