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Finding the Third Proportional to 20,734 and 45,354

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Solution

The third proportional to 20,734 and 45,354 is: 99,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,734 : 45,354 = 45,354 : x
  2. Step 2: Convert to fraction form
    20,734/45,354 = 45,354/x
  3. Step 3: Cross multiply
    20,734x = 45,354 × 45,354
  4. Step 4: Simplify right side
    20,734x = 2,056,985,316
  5. Step 5: Solve for x
    x = 2,056,985,316/20,734
  6. Step 6: Final answer
    x = 99,208.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.