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Finding the Third Proportional to 3,465 and 5,724

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Solution

The third proportional to 3,465 and 5,724 is: 9,455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465 : 5,724 = 5,724 : x
  2. Step 2: Convert to fraction form
    3,465/5,724 = 5,724/x
  3. Step 3: Cross multiply
    3,465x = 5,724 × 5,724
  4. Step 4: Simplify right side
    3,465x = 32,764,176
  5. Step 5: Solve for x
    x = 32,764,176/3,465
  6. Step 6: Final answer
    x = 9,455.75

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.