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Finding the Third Proportional to 30,233.25 and 70,599.38

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Solution

The third proportional to 30,233.25 and 70,599.38 is: 164,860.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,233.25 : 70,599.38 = 70,599.38 : x
  2. Step 2: Convert to fraction form
    30,233.25/70,599.38 = 70,599.38/x
  3. Step 3: Cross multiply
    30,233.25x = 70,599.38 × 70,599.38
  4. Step 4: Simplify right side
    30,233.25x = 4,984,271,750.39
  5. Step 5: Solve for x
    x = 4,984,271,750.39/30,233.25
  6. Step 6: Final answer
    x = 164,860.60

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.