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Finding the Third Proportional to 9,465 and 20,582

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Solution

The third proportional to 9,465 and 20,582 is: 44,756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465 : 20,582 = 20,582 : x
  2. Step 2: Convert to fraction form
    9,465/20,582 = 20,582/x
  3. Step 3: Cross multiply
    9,465x = 20,582 × 20,582
  4. Step 4: Simplify right side
    9,465x = 423,618,724
  5. Step 5: Solve for x
    x = 423,618,724/9,465
  6. Step 6: Final answer
    x = 44,756.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.