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Finding the Third Proportional to 30,215.25 and 42,474.38

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Solution

The third proportional to 30,215.25 and 42,474.38 is: 59,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,215.25 : 42,474.38 = 42,474.38 : x
  2. Step 2: Convert to fraction form
    30,215.25/42,474.38 = 42,474.38/x
  3. Step 3: Cross multiply
    30,215.25x = 42,474.38 × 42,474.38
  4. Step 4: Simplify right side
    30,215.25x = 1,804,072,531.64
  5. Step 5: Solve for x
    x = 1,804,072,531.64/30,215.25
  6. Step 6: Final answer
    x = 59,707.35

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.