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Finding the Third Proportional to 14,389.31 and 31,046.63

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Solution

The third proportional to 14,389.31 and 31,046.63 is: 66,986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,389.31 : 31,046.63 = 31,046.63 : x
  2. Step 2: Convert to fraction form
    14,389.31/31,046.63 = 31,046.63/x
  3. Step 3: Cross multiply
    14,389.31x = 31,046.63 × 31,046.63
  4. Step 4: Simplify right side
    14,389.31x = 963,892,923.89
  5. Step 5: Solve for x
    x = 963,892,923.89/14,389.31
  6. Step 6: Final answer
    x = 66,986.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.