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Finding the Third Proportional to 6,176 and 9,335

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Solution

The third proportional to 6,176 and 9,335 is: 14,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176 : 9,335 = 9,335 : x
  2. Step 2: Convert to fraction form
    6,176/9,335 = 9,335/x
  3. Step 3: Cross multiply
    6,176x = 9,335 × 9,335
  4. Step 4: Simplify right side
    6,176x = 87,142,225
  5. Step 5: Solve for x
    x = 87,142,225/6,176
  6. Step 6: Final answer
    x = 14,109.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.