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Finding the Third Proportional to 7,461 and 16,089

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Solution

The third proportional to 7,461 and 16,089 is: 34,694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461 : 16,089 = 16,089 : x
  2. Step 2: Convert to fraction form
    7,461/16,089 = 16,089/x
  3. Step 3: Cross multiply
    7,461x = 16,089 × 16,089
  4. Step 4: Simplify right side
    7,461x = 258,855,921
  5. Step 5: Solve for x
    x = 258,855,921/7,461
  6. Step 6: Final answer
    x = 34,694.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.