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Finding the Third Proportional to 4,213 and 6,312

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Solution

The third proportional to 4,213 and 6,312 is: 9,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213 : 6,312 = 6,312 : x
  2. Step 2: Convert to fraction form
    4,213/6,312 = 6,312/x
  3. Step 3: Cross multiply
    4,213x = 6,312 × 6,312
  4. Step 4: Simplify right side
    4,213x = 39,841,344
  5. Step 5: Solve for x
    x = 39,841,344/4,213
  6. Step 6: Final answer
    x = 9,456.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.