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Finding the Third Proportional to 8,776 and 19,010

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Solution

The third proportional to 8,776 and 19,010 is: 41,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,776 : 19,010 = 19,010 : x
  2. Step 2: Convert to fraction form
    8,776/19,010 = 19,010/x
  3. Step 3: Cross multiply
    8,776x = 19,010 × 19,010
  4. Step 4: Simplify right side
    8,776x = 361,380,100
  5. Step 5: Solve for x
    x = 361,380,100/8,776
  6. Step 6: Final answer
    x = 41,178.22

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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.