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Finding the Third Proportional to 6,142 and 11,312

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Solution

The third proportional to 6,142 and 11,312 is: 20,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142 : 11,312 = 11,312 : x
  2. Step 2: Convert to fraction form
    6,142/11,312 = 11,312/x
  3. Step 3: Cross multiply
    6,142x = 11,312 × 11,312
  4. Step 4: Simplify right side
    6,142x = 127,961,344
  5. Step 5: Solve for x
    x = 127,961,344/6,142
  6. Step 6: Final answer
    x = 20,833.82

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.