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Finding the Third Proportional to 30,109.13 and 65,580.19

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Solution

The third proportional to 30,109.13 and 65,580.19 is: 142,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,109.13 : 65,580.19 = 65,580.19 : x
  2. Step 2: Convert to fraction form
    30,109.13/65,580.19 = 65,580.19/x
  3. Step 3: Cross multiply
    30,109.13x = 65,580.19 × 65,580.19
  4. Step 4: Simplify right side
    30,109.13x = 4,300,760,992.54
  5. Step 5: Solve for x
    x = 4,300,760,992.54/30,109.13
  6. Step 6: Final answer
    x = 142,839.12

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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.