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Finding the Third Proportional to 17,572 and 24,716

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Solution

The third proportional to 17,572 and 24,716 is: 34,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,572 : 24,716 = 24,716 : x
  2. Step 2: Convert to fraction form
    17,572/24,716 = 24,716/x
  3. Step 3: Cross multiply
    17,572x = 24,716 × 24,716
  4. Step 4: Simplify right side
    17,572x = 610,880,656
  5. Step 5: Solve for x
    x = 610,880,656/17,572
  6. Step 6: Final answer
    x = 34,764.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.