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Finding the Third Proportional to 14,948.63 and 31,446.38

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Solution

The third proportional to 14,948.63 and 31,446.38 is: 66,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,948.63 : 31,446.38 = 31,446.38 : x
  2. Step 2: Convert to fraction form
    14,948.63/31,446.38 = 31,446.38/x
  3. Step 3: Cross multiply
    14,948.63x = 31,446.38 × 31,446.38
  4. Step 4: Simplify right side
    14,948.63x = 988,874,500.64
  5. Step 5: Solve for x
    x = 988,874,500.64/14,948.63
  6. Step 6: Final answer
    x = 66,151.54

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.