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Finding the Third Proportional to 28,217 and 60,319

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Solution

The third proportional to 28,217 and 60,319 is: 128,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,217 : 60,319 = 60,319 : x
  2. Step 2: Convert to fraction form
    28,217/60,319 = 60,319/x
  3. Step 3: Cross multiply
    28,217x = 60,319 × 60,319
  4. Step 4: Simplify right side
    28,217x = 3,638,381,761
  5. Step 5: Solve for x
    x = 3,638,381,761/28,217
  6. Step 6: Final answer
    x = 128,942.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.