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Finding the Third Proportional to 20,582 and 30,750

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Solution

The third proportional to 20,582 and 30,750 is: 45,941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582 : 30,750 = 30,750 : x
  2. Step 2: Convert to fraction form
    20,582/30,750 = 30,750/x
  3. Step 3: Cross multiply
    20,582x = 30,750 × 30,750
  4. Step 4: Simplify right side
    20,582x = 945,562,500
  5. Step 5: Solve for x
    x = 945,562,500/20,582
  6. Step 6: Final answer
    x = 45,941.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.