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Finding the Third Proportional to 12,770.63 and 29,676.75

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Solution

The third proportional to 12,770.63 and 29,676.75 is: 68,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.63 : 29,676.75 = 29,676.75 : x
  2. Step 2: Convert to fraction form
    12,770.63/29,676.75 = 29,676.75/x
  3. Step 3: Cross multiply
    12,770.63x = 29,676.75 × 29,676.75
  4. Step 4: Simplify right side
    12,770.63x = 880,709,490.56
  5. Step 5: Solve for x
    x = 880,709,490.56/12,770.63
  6. Step 6: Final answer
    x = 68,963.70

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.