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Finding the Third Proportional to 6,360 and 10,156

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Solution

The third proportional to 6,360 and 10,156 is: 16,217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,360 : 10,156 = 10,156 : x
  2. Step 2: Convert to fraction form
    6,360/10,156 = 10,156/x
  3. Step 3: Cross multiply
    6,360x = 10,156 × 10,156
  4. Step 4: Simplify right side
    6,360x = 103,144,336
  5. Step 5: Solve for x
    x = 103,144,336/6,360
  6. Step 6: Final answer
    x = 16,217.66

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.