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Finding the Third Proportional to 7,202 and 10,903

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Solution

The third proportional to 7,202 and 10,903 is: 16,505.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202 : 10,903 = 10,903 : x
  2. Step 2: Convert to fraction form
    7,202/10,903 = 10,903/x
  3. Step 3: Cross multiply
    7,202x = 10,903 × 10,903
  4. Step 4: Simplify right side
    7,202x = 118,875,409
  5. Step 5: Solve for x
    x = 118,875,409/7,202
  6. Step 6: Final answer
    x = 16,505.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.