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Finding the Third Proportional to 30,216 and 66,473

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Solution

The third proportional to 30,216 and 66,473 is: 146,235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,216 : 66,473 = 66,473 : x
  2. Step 2: Convert to fraction form
    30,216/66,473 = 66,473/x
  3. Step 3: Cross multiply
    30,216x = 66,473 × 66,473
  4. Step 4: Simplify right side
    30,216x = 4,418,659,729
  5. Step 5: Solve for x
    x = 4,418,659,729/30,216
  6. Step 6: Final answer
    x = 146,235.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.