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Finding the Third Proportional to 4,975 and 10,465

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Solution

The third proportional to 4,975 and 10,465 is: 22,013.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975 : 10,465 = 10,465 : x
  2. Step 2: Convert to fraction form
    4,975/10,465 = 10,465/x
  3. Step 3: Cross multiply
    4,975x = 10,465 × 10,465
  4. Step 4: Simplify right side
    4,975x = 109,516,225
  5. Step 5: Solve for x
    x = 109,516,225/4,975
  6. Step 6: Final answer
    x = 22,013.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.