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Finding the Third Proportional to 2,146 and 2,461

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Solution

The third proportional to 2,146 and 2,461 is: 2,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146 : 2,461 = 2,461 : x
  2. Step 2: Convert to fraction form
    2,146/2,461 = 2,461/x
  3. Step 3: Cross multiply
    2,146x = 2,461 × 2,461
  4. Step 4: Simplify right side
    2,146x = 6,056,521
  5. Step 5: Solve for x
    x = 6,056,521/2,146
  6. Step 6: Final answer
    x = 2,822.24

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.