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Finding the Third Proportional to 4,523 and 9,646

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Solution

The third proportional to 4,523 and 9,646 is: 20,571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523 : 9,646 = 9,646 : x
  2. Step 2: Convert to fraction form
    4,523/9,646 = 9,646/x
  3. Step 3: Cross multiply
    4,523x = 9,646 × 9,646
  4. Step 4: Simplify right side
    4,523x = 93,045,316
  5. Step 5: Solve for x
    x = 93,045,316/4,523
  6. Step 6: Final answer
    x = 20,571.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.