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Finding the Third Proportional to 9,840 and 12,915

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Solution

The third proportional to 9,840 and 12,915 is: 16,950.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840 : 12,915 = 12,915 : x
  2. Step 2: Convert to fraction form
    9,840/12,915 = 12,915/x
  3. Step 3: Cross multiply
    9,840x = 12,915 × 12,915
  4. Step 4: Simplify right side
    9,840x = 166,797,225
  5. Step 5: Solve for x
    x = 166,797,225/9,840
  6. Step 6: Final answer
    x = 16,950.94

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.