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Finding the Third Proportional to 3,534 and 5,310

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Solution

The third proportional to 3,534 and 5,310 is: 7,978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534 : 5,310 = 5,310 : x
  2. Step 2: Convert to fraction form
    3,534/5,310 = 5,310/x
  3. Step 3: Cross multiply
    3,534x = 5,310 × 5,310
  4. Step 4: Simplify right side
    3,534x = 28,196,100
  5. Step 5: Solve for x
    x = 28,196,100/3,534
  6. Step 6: Final answer
    x = 7,978.52

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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.