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Finding the Third Proportional to 9,257 and 14,117

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Solution

The third proportional to 9,257 and 14,117 is: 21,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257 : 14,117 = 14,117 : x
  2. Step 2: Convert to fraction form
    9,257/14,117 = 14,117/x
  3. Step 3: Cross multiply
    9,257x = 14,117 × 14,117
  4. Step 4: Simplify right side
    9,257x = 199,289,689
  5. Step 5: Solve for x
    x = 199,289,689/9,257
  6. Step 6: Final answer
    x = 21,528.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.