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Finding the Third Proportional to 9,058.71 and 19,457.09

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Solution

The third proportional to 9,058.71 and 19,457.09 is: 41,791.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,058.71 : 19,457.09 = 19,457.09 : x
  2. Step 2: Convert to fraction form
    9,058.71/19,457.09 = 19,457.09/x
  3. Step 3: Cross multiply
    9,058.71x = 19,457.09 × 19,457.09
  4. Step 4: Simplify right side
    9,058.71x = 378,578,193.18
  5. Step 5: Solve for x
    x = 378,578,193.18/9,058.71
  6. Step 6: Final answer
    x = 41,791.62

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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.