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Finding the Third Proportional to 28,093 and 60,316

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Solution

The third proportional to 28,093 and 60,316 is: 129,499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,093 : 60,316 = 60,316 : x
  2. Step 2: Convert to fraction form
    28,093/60,316 = 60,316/x
  3. Step 3: Cross multiply
    28,093x = 60,316 × 60,316
  4. Step 4: Simplify right side
    28,093x = 3,638,019,856
  5. Step 5: Solve for x
    x = 3,638,019,856/28,093
  6. Step 6: Final answer
    x = 129,499.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.