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Finding the Third Proportional to 30,382 and 45,978

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Solution

The third proportional to 30,382 and 45,978 is: 69,579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382 : 45,978 = 45,978 : x
  2. Step 2: Convert to fraction form
    30,382/45,978 = 45,978/x
  3. Step 3: Cross multiply
    30,382x = 45,978 × 45,978
  4. Step 4: Simplify right side
    30,382x = 2,113,976,484
  5. Step 5: Solve for x
    x = 2,113,976,484/30,382
  6. Step 6: Final answer
    x = 69,579.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.