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Finding the Third Proportional to 3,842 and 8,407.50

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Solution

The third proportional to 3,842 and 8,407.50 is: 18,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842 : 8,407.50 = 8,407.50 : x
  2. Step 2: Convert to fraction form
    3,842/8,407.50 = 8,407.50/x
  3. Step 3: Cross multiply
    3,842x = 8,407.50 × 8,407.50
  4. Step 4: Simplify right side
    3,842x = 70,686,056.25
  5. Step 5: Solve for x
    x = 70,686,056.25/3,842
  6. Step 6: Final answer
    x = 18,398.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.