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Finding the Third Proportional to 30,166.50 and 49,300.50

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Solution

The third proportional to 30,166.50 and 49,300.50 is: 80,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,166.50 : 49,300.50 = 49,300.50 : x
  2. Step 2: Convert to fraction form
    30,166.50/49,300.50 = 49,300.50/x
  3. Step 3: Cross multiply
    30,166.50x = 49,300.50 × 49,300.50
  4. Step 4: Simplify right side
    30,166.50x = 2,430,539,300.25
  5. Step 5: Solve for x
    x = 2,430,539,300.25/30,166.50
  6. Step 6: Final answer
    x = 80,570.81

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.