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Finding the Third Proportional to 15,556 and 35,834

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Solution

The third proportional to 15,556 and 35,834 is: 82,545.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,556 : 35,834 = 35,834 : x
  2. Step 2: Convert to fraction form
    15,556/35,834 = 35,834/x
  3. Step 3: Cross multiply
    15,556x = 35,834 × 35,834
  4. Step 4: Simplify right side
    15,556x = 1,284,075,556
  5. Step 5: Solve for x
    x = 1,284,075,556/15,556
  6. Step 6: Final answer
    x = 82,545.36

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.