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Finding the Third Proportional to 7,851 and 17,178

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Solution

The third proportional to 7,851 and 17,178 is: 37,585.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851 : 17,178 = 17,178 : x
  2. Step 2: Convert to fraction form
    7,851/17,178 = 17,178/x
  3. Step 3: Cross multiply
    7,851x = 17,178 × 17,178
  4. Step 4: Simplify right side
    7,851x = 295,083,684
  5. Step 5: Solve for x
    x = 295,083,684/7,851
  6. Step 6: Final answer
    x = 37,585.49

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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.