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Finding the Third Proportional to 13,707.69 and 29,894.25

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Solution

The third proportional to 13,707.69 and 29,894.25 is: 65,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.69 : 29,894.25 = 29,894.25 : x
  2. Step 2: Convert to fraction form
    13,707.69/29,894.25 = 29,894.25/x
  3. Step 3: Cross multiply
    13,707.69x = 29,894.25 × 29,894.25
  4. Step 4: Simplify right side
    13,707.69x = 893,666,183.06
  5. Step 5: Solve for x
    x = 893,666,183.06/13,707.69
  6. Step 6: Final answer
    x = 65,194.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.