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Finding the Third Proportional to 1,972 and 3,260

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Solution

The third proportional to 1,972 and 3,260 is: 5,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972 : 3,260 = 3,260 : x
  2. Step 2: Convert to fraction form
    1,972/3,260 = 3,260/x
  3. Step 3: Cross multiply
    1,972x = 3,260 × 3,260
  4. Step 4: Simplify right side
    1,972x = 10,627,600
  5. Step 5: Solve for x
    x = 10,627,600/1,972
  6. Step 6: Final answer
    x = 5,389.25

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.