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Finding the Third Proportional to 2,344 and 5,316

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Solution

The third proportional to 2,344 and 5,316 is: 12,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344 : 5,316 = 5,316 : x
  2. Step 2: Convert to fraction form
    2,344/5,316 = 5,316/x
  3. Step 3: Cross multiply
    2,344x = 5,316 × 5,316
  4. Step 4: Simplify right side
    2,344x = 28,259,856
  5. Step 5: Solve for x
    x = 28,259,856/2,344
  6. Step 6: Final answer
    x = 12,056.25

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.