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Finding the Third Proportional to 30,914.16 and 65,826.42

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Solution

The third proportional to 30,914.16 and 65,826.42 is: 140,166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914.16 : 65,826.42 = 65,826.42 : x
  2. Step 2: Convert to fraction form
    30,914.16/65,826.42 = 65,826.42/x
  3. Step 3: Cross multiply
    30,914.16x = 65,826.42 × 65,826.42
  4. Step 4: Simplify right side
    30,914.16x = 4,333,117,816.87
  5. Step 5: Solve for x
    x = 4,333,117,816.87/30,914.16
  6. Step 6: Final answer
    x = 140,166.14

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.