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Finding the Third Proportional to 1,964 and 2,276

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Solution

The third proportional to 1,964 and 2,276 is: 2,637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964 : 2,276 = 2,276 : x
  2. Step 2: Convert to fraction form
    1,964/2,276 = 2,276/x
  3. Step 3: Cross multiply
    1,964x = 2,276 × 2,276
  4. Step 4: Simplify right side
    1,964x = 5,180,176
  5. Step 5: Solve for x
    x = 5,180,176/1,964
  6. Step 6: Final answer
    x = 2,637.56

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.