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Finding the Third Proportional to 14,894 and 31,948

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Solution

The third proportional to 14,894 and 31,948 is: 68,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894 : 31,948 = 31,948 : x
  2. Step 2: Convert to fraction form
    14,894/31,948 = 31,948/x
  3. Step 3: Cross multiply
    14,894x = 31,948 × 31,948
  4. Step 4: Simplify right side
    14,894x = 1,020,674,704
  5. Step 5: Solve for x
    x = 1,020,674,704/14,894
  6. Step 6: Final answer
    x = 68,529.25

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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.