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Finding the Third Proportional to 7,938 and 15,155

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Solution

The third proportional to 7,938 and 15,155 is: 28,933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938 : 15,155 = 15,155 : x
  2. Step 2: Convert to fraction form
    7,938/15,155 = 15,155/x
  3. Step 3: Cross multiply
    7,938x = 15,155 × 15,155
  4. Step 4: Simplify right side
    7,938x = 229,674,025
  5. Step 5: Solve for x
    x = 229,674,025/7,938
  6. Step 6: Final answer
    x = 28,933.49

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.