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Finding the Third Proportional to 16,600 and 19,354

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Solution

The third proportional to 16,600 and 19,354 is: 22,564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,600 : 19,354 = 19,354 : x
  2. Step 2: Convert to fraction form
    16,600/19,354 = 19,354/x
  3. Step 3: Cross multiply
    16,600x = 19,354 × 19,354
  4. Step 4: Simplify right side
    16,600x = 374,577,316
  5. Step 5: Solve for x
    x = 374,577,316/16,600
  6. Step 6: Final answer
    x = 22,564.90

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.