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Finding the Third Proportional to 5,423 and 7,284

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Solution

The third proportional to 5,423 and 7,284 is: 9,783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423 : 7,284 = 7,284 : x
  2. Step 2: Convert to fraction form
    5,423/7,284 = 7,284/x
  3. Step 3: Cross multiply
    5,423x = 7,284 × 7,284
  4. Step 4: Simplify right side
    5,423x = 53,056,656
  5. Step 5: Solve for x
    x = 53,056,656/5,423
  6. Step 6: Final answer
    x = 9,783.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.