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Finding the Third Proportional to 30,222.75 and 42,485.63

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Solution

The third proportional to 30,222.75 and 42,485.63 is: 59,724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,222.75 : 42,485.63 = 42,485.63 : x
  2. Step 2: Convert to fraction form
    30,222.75/42,485.63 = 42,485.63/x
  3. Step 3: Cross multiply
    30,222.75x = 42,485.63 × 42,485.63
  4. Step 4: Simplify right side
    30,222.75x = 1,805,028,331.64
  5. Step 5: Solve for x
    x = 1,805,028,331.64/30,222.75
  6. Step 6: Final answer
    x = 59,724.16

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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.