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Finding the Third Proportional to 6,348 and 9,738

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Solution

The third proportional to 6,348 and 9,738 is: 14,938.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348 : 9,738 = 9,738 : x
  2. Step 2: Convert to fraction form
    6,348/9,738 = 9,738/x
  3. Step 3: Cross multiply
    6,348x = 9,738 × 9,738
  4. Step 4: Simplify right side
    6,348x = 94,828,644
  5. Step 5: Solve for x
    x = 94,828,644/6,348
  6. Step 6: Final answer
    x = 14,938.35

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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.