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Finding the Third Proportional to 2,160 and 2,346

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Solution

The third proportional to 2,160 and 2,346 is: 2,548.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160 : 2,346 = 2,346 : x
  2. Step 2: Convert to fraction form
    2,160/2,346 = 2,346/x
  3. Step 3: Cross multiply
    2,160x = 2,346 × 2,346
  4. Step 4: Simplify right side
    2,160x = 5,503,716
  5. Step 5: Solve for x
    x = 5,503,716/2,160
  6. Step 6: Final answer
    x = 2,548.02

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.