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Finding the Third Proportional to 8,374 and 18,204.50

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Solution

The third proportional to 8,374 and 18,204.50 is: 39,575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374 : 18,204.50 = 18,204.50 : x
  2. Step 2: Convert to fraction form
    8,374/18,204.50 = 18,204.50/x
  3. Step 3: Cross multiply
    8,374x = 18,204.50 × 18,204.50
  4. Step 4: Simplify right side
    8,374x = 331,403,820.25
  5. Step 5: Solve for x
    x = 331,403,820.25/8,374
  6. Step 6: Final answer
    x = 39,575.33

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1.5x scale

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.