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Finding the Third Proportional to 30,111.75 and 42,082.03

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Solution

The third proportional to 30,111.75 and 42,082.03 is: 58,810.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,111.75 : 42,082.03 = 42,082.03 : x
  2. Step 2: Convert to fraction form
    30,111.75/42,082.03 = 42,082.03/x
  3. Step 3: Cross multiply
    30,111.75x = 42,082.03 × 42,082.03
  4. Step 4: Simplify right side
    30,111.75x = 1,770,897,354.13
  5. Step 5: Solve for x
    x = 1,770,897,354.13/30,111.75
  6. Step 6: Final answer
    x = 58,810.84

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.