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Finding the Third Proportional to 9,602 and 20,778

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Solution

The third proportional to 9,602 and 20,778 is: 44,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602 : 20,778 = 20,778 : x
  2. Step 2: Convert to fraction form
    9,602/20,778 = 20,778/x
  3. Step 3: Cross multiply
    9,602x = 20,778 × 20,778
  4. Step 4: Simplify right side
    9,602x = 431,725,284
  5. Step 5: Solve for x
    x = 431,725,284/9,602
  6. Step 6: Final answer
    x = 44,962.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.