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Finding the Third Proportional to 20,507 and 44,705

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Solution

The third proportional to 20,507 and 44,705 is: 97,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507 : 44,705 = 44,705 : x
  2. Step 2: Convert to fraction form
    20,507/44,705 = 44,705/x
  3. Step 3: Cross multiply
    20,507x = 44,705 × 44,705
  4. Step 4: Simplify right side
    20,507x = 1,998,537,025
  5. Step 5: Solve for x
    x = 1,998,537,025/20,507
  6. Step 6: Final answer
    x = 97,456.33

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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.