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Finding the Third Proportional to 1,964 and 2,935

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Solution

The third proportional to 1,964 and 2,935 is: 4,386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964 : 2,935 = 2,935 : x
  2. Step 2: Convert to fraction form
    1,964/2,935 = 2,935/x
  3. Step 3: Cross multiply
    1,964x = 2,935 × 2,935
  4. Step 4: Simplify right side
    1,964x = 8,614,225
  5. Step 5: Solve for x
    x = 8,614,225/1,964
  6. Step 6: Final answer
    x = 4,386.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.