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Finding the Third Proportional to 9,798 and 14,287

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Solution

The third proportional to 9,798 and 14,287 is: 20,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798 : 14,287 = 14,287 : x
  2. Step 2: Convert to fraction form
    9,798/14,287 = 14,287/x
  3. Step 3: Cross multiply
    9,798x = 14,287 × 14,287
  4. Step 4: Simplify right side
    9,798x = 204,118,369
  5. Step 5: Solve for x
    x = 204,118,369/9,798
  6. Step 6: Final answer
    x = 20,832.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.