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Finding the Third Proportional to 9,010 and 19,407

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Solution

The third proportional to 9,010 and 19,407 is: 41,801.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,010 : 19,407 = 19,407 : x
  2. Step 2: Convert to fraction form
    9,010/19,407 = 19,407/x
  3. Step 3: Cross multiply
    9,010x = 19,407 × 19,407
  4. Step 4: Simplify right side
    9,010x = 376,631,649
  5. Step 5: Solve for x
    x = 376,631,649/9,010
  6. Step 6: Final answer
    x = 41,801.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.