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Finding the Third Proportional to 7,323 and 8,421

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Solution

The third proportional to 7,323 and 8,421 is: 9,683.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323 : 8,421 = 8,421 : x
  2. Step 2: Convert to fraction form
    7,323/8,421 = 8,421/x
  3. Step 3: Cross multiply
    7,323x = 8,421 × 8,421
  4. Step 4: Simplify right side
    7,323x = 70,913,241
  5. Step 5: Solve for x
    x = 70,913,241/7,323
  6. Step 6: Final answer
    x = 9,683.63

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.