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Finding the Third Proportional to 4,270 and 5,343

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Solution

The third proportional to 4,270 and 5,343 is: 6,685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270 : 5,343 = 5,343 : x
  2. Step 2: Convert to fraction form
    4,270/5,343 = 5,343/x
  3. Step 3: Cross multiply
    4,270x = 5,343 × 5,343
  4. Step 4: Simplify right side
    4,270x = 28,547,649
  5. Step 5: Solve for x
    x = 28,547,649/4,270
  6. Step 6: Final answer
    x = 6,685.63

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.