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Finding the Third Proportional to 2,070 and 4,446

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Solution

The third proportional to 2,070 and 4,446 is: 9,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070 : 4,446 = 4,446 : x
  2. Step 2: Convert to fraction form
    2,070/4,446 = 4,446/x
  3. Step 3: Cross multiply
    2,070x = 4,446 × 4,446
  4. Step 4: Simplify right side
    2,070x = 19,766,916
  5. Step 5: Solve for x
    x = 19,766,916/2,070
  6. Step 6: Final answer
    x = 9,549.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.