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Finding the Third Proportional to 5,780 and 11,312

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Solution

The third proportional to 5,780 and 11,312 is: 22,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780 : 11,312 = 11,312 : x
  2. Step 2: Convert to fraction form
    5,780/11,312 = 11,312/x
  3. Step 3: Cross multiply
    5,780x = 11,312 × 11,312
  4. Step 4: Simplify right side
    5,780x = 127,961,344
  5. Step 5: Solve for x
    x = 127,961,344/5,780
  6. Step 6: Final answer
    x = 22,138.64

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.