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Finding the Third Proportional to 3,748 and 8,157

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Solution

The third proportional to 3,748 and 8,157 is: 17,752.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748 : 8,157 = 8,157 : x
  2. Step 2: Convert to fraction form
    3,748/8,157 = 8,157/x
  3. Step 3: Cross multiply
    3,748x = 8,157 × 8,157
  4. Step 4: Simplify right side
    3,748x = 66,536,649
  5. Step 5: Solve for x
    x = 66,536,649/3,748
  6. Step 6: Final answer
    x = 17,752.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.