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Finding the Third Proportional to 3,574 and 8,346

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Solution

The third proportional to 3,574 and 8,346 is: 19,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574 : 8,346 = 8,346 : x
  2. Step 2: Convert to fraction form
    3,574/8,346 = 8,346/x
  3. Step 3: Cross multiply
    3,574x = 8,346 × 8,346
  4. Step 4: Simplify right side
    3,574x = 69,655,716
  5. Step 5: Solve for x
    x = 69,655,716/3,574
  6. Step 6: Final answer
    x = 19,489.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.