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Finding the Third Proportional to 14,306.63 and 33,146.72

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Solution

The third proportional to 14,306.63 and 33,146.72 is: 76,796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.63 : 33,146.72 = 33,146.72 : x
  2. Step 2: Convert to fraction form
    14,306.63/33,146.72 = 33,146.72/x
  3. Step 3: Cross multiply
    14,306.63x = 33,146.72 × 33,146.72
  4. Step 4: Simplify right side
    14,306.63x = 1,098,704,963.89
  5. Step 5: Solve for x
    x = 1,098,704,963.89/14,306.63
  6. Step 6: Final answer
    x = 76,796.94

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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.