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Finding the Third Proportional to 7,303.25 and 10,719.38

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Solution

The third proportional to 7,303.25 and 10,719.38 is: 15,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303.25 : 10,719.38 = 10,719.38 : x
  2. Step 2: Convert to fraction form
    7,303.25/10,719.38 = 10,719.38/x
  3. Step 3: Cross multiply
    7,303.25x = 10,719.38 × 10,719.38
  4. Step 4: Simplify right side
    7,303.25x = 114,905,000.39
  5. Step 5: Solve for x
    x = 114,905,000.39/7,303.25
  6. Step 6: Final answer
    x = 15,733.41

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.