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Finding the Third Proportional to 3,720 and 9,556

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Solution

The third proportional to 3,720 and 9,556 is: 24,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720 : 9,556 = 9,556 : x
  2. Step 2: Convert to fraction form
    3,720/9,556 = 9,556/x
  3. Step 3: Cross multiply
    3,720x = 9,556 × 9,556
  4. Step 4: Simplify right side
    3,720x = 91,317,136
  5. Step 5: Solve for x
    x = 91,317,136/3,720
  6. Step 6: Final answer
    x = 24,547.62

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.