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Finding the Third Proportional to 14,306.63 and 30,729.38

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Solution

The third proportional to 14,306.63 and 30,729.38 is: 66,004.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.63 : 30,729.38 = 30,729.38 : x
  2. Step 2: Convert to fraction form
    14,306.63/30,729.38 = 30,729.38/x
  3. Step 3: Cross multiply
    14,306.63x = 30,729.38 × 30,729.38
  4. Step 4: Simplify right side
    14,306.63x = 944,294,487.89
  5. Step 5: Solve for x
    x = 944,294,487.89/14,306.63
  6. Step 6: Final answer
    x = 66,004.00

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.