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Finding the Third Proportional to 28,217 and 60,321

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Solution

The third proportional to 28,217 and 60,321 is: 128,951.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,217 : 60,321 = 60,321 : x
  2. Step 2: Convert to fraction form
    28,217/60,321 = 60,321/x
  3. Step 3: Cross multiply
    28,217x = 60,321 × 60,321
  4. Step 4: Simplify right side
    28,217x = 3,638,623,041
  5. Step 5: Solve for x
    x = 3,638,623,041/28,217
  6. Step 6: Final answer
    x = 128,951.45

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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.