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Finding the Third Proportional to 21,621 and 32,445

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Solution

The third proportional to 21,621 and 32,445 is: 48,687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,621 : 32,445 = 32,445 : x
  2. Step 2: Convert to fraction form
    21,621/32,445 = 32,445/x
  3. Step 3: Cross multiply
    21,621x = 32,445 × 32,445
  4. Step 4: Simplify right side
    21,621x = 1,052,678,025
  5. Step 5: Solve for x
    x = 1,052,678,025/21,621
  6. Step 6: Final answer
    x = 48,687.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.