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Finding the Third Proportional to 7,556 and 16,409

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Solution

The third proportional to 7,556 and 16,409 is: 35,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,556 : 16,409 = 16,409 : x
  2. Step 2: Convert to fraction form
    7,556/16,409 = 16,409/x
  3. Step 3: Cross multiply
    7,556x = 16,409 × 16,409
  4. Step 4: Simplify right side
    7,556x = 269,255,281
  5. Step 5: Solve for x
    x = 269,255,281/7,556
  6. Step 6: Final answer
    x = 35,634.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.