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Finding the Third Proportional to 28,842 and 63,361

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Solution

The third proportional to 28,842 and 63,361 is: 139,193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,842 : 63,361 = 63,361 : x
  2. Step 2: Convert to fraction form
    28,842/63,361 = 63,361/x
  3. Step 3: Cross multiply
    28,842x = 63,361 × 63,361
  4. Step 4: Simplify right side
    28,842x = 4,014,616,321
  5. Step 5: Solve for x
    x = 4,014,616,321/28,842
  6. Step 6: Final answer
    x = 139,193.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.