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Finding the Third Proportional to 20,460 and 44,562

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Solution

The third proportional to 20,460 and 44,562 is: 97,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,460 : 44,562 = 44,562 : x
  2. Step 2: Convert to fraction form
    20,460/44,562 = 44,562/x
  3. Step 3: Cross multiply
    20,460x = 44,562 × 44,562
  4. Step 4: Simplify right side
    20,460x = 1,985,771,844
  5. Step 5: Solve for x
    x = 1,985,771,844/20,460
  6. Step 6: Final answer
    x = 97,056.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.