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Finding the Third Proportional to 32,621 and 43,089

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Solution

The third proportional to 32,621 and 43,089 is: 56,916.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,621 : 43,089 = 43,089 : x
  2. Step 2: Convert to fraction form
    32,621/43,089 = 43,089/x
  3. Step 3: Cross multiply
    32,621x = 43,089 × 43,089
  4. Step 4: Simplify right side
    32,621x = 1,856,661,921
  5. Step 5: Solve for x
    x = 1,856,661,921/32,621
  6. Step 6: Final answer
    x = 56,916.16

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.