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Finding the Third Proportional to 7,388 and 10,300

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Solution

The third proportional to 7,388 and 10,300 is: 14,359.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388 : 10,300 = 10,300 : x
  2. Step 2: Convert to fraction form
    7,388/10,300 = 10,300/x
  3. Step 3: Cross multiply
    7,388x = 10,300 × 10,300
  4. Step 4: Simplify right side
    7,388x = 106,090,000
  5. Step 5: Solve for x
    x = 106,090,000/7,388
  6. Step 6: Final answer
    x = 14,359.77

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.