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Finding the Third Proportional to 30,232.41 and 70,597.62

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Solution

The third proportional to 30,232.41 and 70,597.62 is: 164,856.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,232.41 : 70,597.62 = 70,597.62 : x
  2. Step 2: Convert to fraction form
    30,232.41/70,597.62 = 70,597.62/x
  3. Step 3: Cross multiply
    30,232.41x = 70,597.62 × 70,597.62
  4. Step 4: Simplify right side
    30,232.41x = 4,984,023,552.55
  5. Step 5: Solve for x
    x = 4,984,023,552.55/30,232.41
  6. Step 6: Final answer
    x = 164,856.99

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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.