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Finding the Third Proportional to 28,286 and 60,460

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Solution

The third proportional to 28,286 and 60,460 is: 129,230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,286 : 60,460 = 60,460 : x
  2. Step 2: Convert to fraction form
    28,286/60,460 = 60,460/x
  3. Step 3: Cross multiply
    28,286x = 60,460 × 60,460
  4. Step 4: Simplify right side
    28,286x = 3,655,411,600
  5. Step 5: Solve for x
    x = 3,655,411,600/28,286
  6. Step 6: Final answer
    x = 129,230.42

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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.