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Finding the Third Proportional to 4,621 and 9,515

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Solution

The third proportional to 4,621 and 9,515 is: 19,592.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,621 : 9,515 = 9,515 : x
  2. Step 2: Convert to fraction form
    4,621/9,515 = 9,515/x
  3. Step 3: Cross multiply
    4,621x = 9,515 × 9,515
  4. Step 4: Simplify right side
    4,621x = 90,535,225
  5. Step 5: Solve for x
    x = 90,535,225/4,621
  6. Step 6: Final answer
    x = 19,592.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.