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Finding the Third Proportional to 4,143 and 7,323

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Solution

The third proportional to 4,143 and 7,323 is: 12,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143 : 7,323 = 7,323 : x
  2. Step 2: Convert to fraction form
    4,143/7,323 = 7,323/x
  3. Step 3: Cross multiply
    4,143x = 7,323 × 7,323
  4. Step 4: Simplify right side
    4,143x = 53,626,329
  5. Step 5: Solve for x
    x = 53,626,329/4,143
  6. Step 6: Final answer
    x = 12,943.84

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.