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Finding the Third Proportional to 1,972 and 4,584

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Solution

The third proportional to 1,972 and 4,584 is: 10,655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972 : 4,584 = 4,584 : x
  2. Step 2: Convert to fraction form
    1,972/4,584 = 4,584/x
  3. Step 3: Cross multiply
    1,972x = 4,584 × 4,584
  4. Step 4: Simplify right side
    1,972x = 21,013,056
  5. Step 5: Solve for x
    x = 21,013,056/1,972
  6. Step 6: Final answer
    x = 10,655.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.