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Finding the Third Proportional to 21,182.77 and 30,978.70

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Solution

The third proportional to 21,182.77 and 30,978.70 is: 45,304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,182.77 : 30,978.70 = 30,978.70 : x
  2. Step 2: Convert to fraction form
    21,182.77/30,978.70 = 30,978.70/x
  3. Step 3: Cross multiply
    21,182.77x = 30,978.70 × 30,978.70
  4. Step 4: Simplify right side
    21,182.77x = 959,680,047.31
  5. Step 5: Solve for x
    x = 959,680,047.31/21,182.77
  6. Step 6: Final answer
    x = 45,304.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.