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Finding the Third Proportional to 7,317.84 and 11,283.05

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Solution

The third proportional to 7,317.84 and 11,283.05 is: 17,396.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,317.84 : 11,283.05 = 11,283.05 : x
  2. Step 2: Convert to fraction form
    7,317.84/11,283.05 = 11,283.05/x
  3. Step 3: Cross multiply
    7,317.84x = 11,283.05 × 11,283.05
  4. Step 4: Simplify right side
    7,317.84x = 127,307,146.78
  5. Step 5: Solve for x
    x = 127,307,146.78/7,317.84
  6. Step 6: Final answer
    x = 17,396.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.