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Finding the Third Proportional to 7,628 and 16,471

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Solution

The third proportional to 7,628 and 16,471 is: 35,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,628 : 16,471 = 16,471 : x
  2. Step 2: Convert to fraction form
    7,628/16,471 = 16,471/x
  3. Step 3: Cross multiply
    7,628x = 16,471 × 16,471
  4. Step 4: Simplify right side
    7,628x = 271,293,841
  5. Step 5: Solve for x
    x = 271,293,841/7,628
  6. Step 6: Final answer
    x = 35,565.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.