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Finding the Third Proportional to 4,842 and 6,157

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Solution

The third proportional to 4,842 and 6,157 is: 7,829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842 : 6,157 = 6,157 : x
  2. Step 2: Convert to fraction form
    4,842/6,157 = 6,157/x
  3. Step 3: Cross multiply
    4,842x = 6,157 × 6,157
  4. Step 4: Simplify right side
    4,842x = 37,908,649
  5. Step 5: Solve for x
    x = 37,908,649/4,842
  6. Step 6: Final answer
    x = 7,829.13

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.