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Finding the Third Proportional to 19,581.75 and 43,669.13

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Solution

The third proportional to 19,581.75 and 43,669.13 is: 97,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,581.75 : 43,669.13 = 43,669.13 : x
  2. Step 2: Convert to fraction form
    19,581.75/43,669.13 = 43,669.13/x
  3. Step 3: Cross multiply
    19,581.75x = 43,669.13 × 43,669.13
  4. Step 4: Simplify right side
    19,581.75x = 1,906,992,478.27
  5. Step 5: Solve for x
    x = 1,906,992,478.27/19,581.75
  6. Step 6: Final answer
    x = 97,386.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.