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Finding the Third Proportional to 14,631.89 and 31,086.28

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Solution

The third proportional to 14,631.89 and 31,086.28 is: 66,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,631.89 : 31,086.28 = 31,086.28 : x
  2. Step 2: Convert to fraction form
    14,631.89/31,086.28 = 31,086.28/x
  3. Step 3: Cross multiply
    14,631.89x = 31,086.28 × 31,086.28
  4. Step 4: Simplify right side
    14,631.89x = 966,356,881.95
  5. Step 5: Solve for x
    x = 966,356,881.95/14,631.89
  6. Step 6: Final answer
    x = 66,044.57

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.