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Finding the Third Proportional to 1,026 and 2,178

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Solution

The third proportional to 1,026 and 2,178 is: 4,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026 : 2,178 = 2,178 : x
  2. Step 2: Convert to fraction form
    1,026/2,178 = 2,178/x
  3. Step 3: Cross multiply
    1,026x = 2,178 × 2,178
  4. Step 4: Simplify right side
    1,026x = 4,743,684
  5. Step 5: Solve for x
    x = 4,743,684/1,026
  6. Step 6: Final answer
    x = 4,623.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.