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Finding the Third Proportional to 30,010.50 and 40,034.25

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Solution

The third proportional to 30,010.50 and 40,034.25 is: 53,406.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,010.50 : 40,034.25 = 40,034.25 : x
  2. Step 2: Convert to fraction form
    30,010.50/40,034.25 = 40,034.25/x
  3. Step 3: Cross multiply
    30,010.50x = 40,034.25 × 40,034.25
  4. Step 4: Simplify right side
    30,010.50x = 1,602,741,173.06
  5. Step 5: Solve for x
    x = 1,602,741,173.06/30,010.50
  6. Step 6: Final answer
    x = 53,406.01

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.