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Finding the Third Proportional to 1,968 and 5,312

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Solution

The third proportional to 1,968 and 5,312 is: 14,338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968 : 5,312 = 5,312 : x
  2. Step 2: Convert to fraction form
    1,968/5,312 = 5,312/x
  3. Step 3: Cross multiply
    1,968x = 5,312 × 5,312
  4. Step 4: Simplify right side
    1,968x = 28,217,344
  5. Step 5: Solve for x
    x = 28,217,344/1,968
  6. Step 6: Final answer
    x = 14,338.08

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.