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Finding the Third Proportional to 30,226.50 and 65,829.38

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Solution

The third proportional to 30,226.50 and 65,829.38 is: 143,367.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,226.50 : 65,829.38 = 65,829.38 : x
  2. Step 2: Convert to fraction form
    30,226.50/65,829.38 = 65,829.38/x
  3. Step 3: Cross multiply
    30,226.50x = 65,829.38 × 65,829.38
  4. Step 4: Simplify right side
    30,226.50x = 4,333,506,612.89
  5. Step 5: Solve for x
    x = 4,333,506,612.89/30,226.50
  6. Step 6: Final answer
    x = 143,367.79

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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.