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Finding the Third Proportional to 9,078 and 14,823

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Solution

The third proportional to 9,078 and 14,823 is: 24,203.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078 : 14,823 = 14,823 : x
  2. Step 2: Convert to fraction form
    9,078/14,823 = 14,823/x
  3. Step 3: Cross multiply
    9,078x = 14,823 × 14,823
  4. Step 4: Simplify right side
    9,078x = 219,721,329
  5. Step 5: Solve for x
    x = 219,721,329/9,078
  6. Step 6: Final answer
    x = 24,203.72

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.