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Finding the Third Proportional to 30,096.56 and 46,792.69

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Solution

The third proportional to 30,096.56 and 46,792.69 is: 72,751.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,096.56 : 46,792.69 = 46,792.69 : x
  2. Step 2: Convert to fraction form
    30,096.56/46,792.69 = 46,792.69/x
  3. Step 3: Cross multiply
    30,096.56x = 46,792.69 × 46,792.69
  4. Step 4: Simplify right side
    30,096.56x = 2,189,555,603.47
  5. Step 5: Solve for x
    x = 2,189,555,603.47/30,096.56
  6. Step 6: Final answer
    x = 72,751.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.