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Finding the Third Proportional to 7,314.75 and 10,814.63

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Solution

The third proportional to 7,314.75 and 10,814.63 is: 15,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.75 : 10,814.63 = 10,814.63 : x
  2. Step 2: Convert to fraction form
    7,314.75/10,814.63 = 10,814.63/x
  3. Step 3: Cross multiply
    7,314.75x = 10,814.63 × 10,814.63
  4. Step 4: Simplify right side
    7,314.75x = 116,956,113.89
  5. Step 5: Solve for x
    x = 116,956,113.89/7,314.75
  6. Step 6: Final answer
    x = 15,989.08

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.