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Finding the Third Proportional to 5,730 and 7,643

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Solution

The third proportional to 5,730 and 7,643 is: 10,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730 : 7,643 = 7,643 : x
  2. Step 2: Convert to fraction form
    5,730/7,643 = 7,643/x
  3. Step 3: Cross multiply
    5,730x = 7,643 × 7,643
  4. Step 4: Simplify right side
    5,730x = 58,415,449
  5. Step 5: Solve for x
    x = 58,415,449/5,730
  6. Step 6: Final answer
    x = 10,194.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.