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Finding the Third Proportional to 2,423 and 5,313

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Solution

The third proportional to 2,423 and 5,313 is: 11,650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423 : 5,313 = 5,313 : x
  2. Step 2: Convert to fraction form
    2,423/5,313 = 5,313/x
  3. Step 3: Cross multiply
    2,423x = 5,313 × 5,313
  4. Step 4: Simplify right side
    2,423x = 28,227,969
  5. Step 5: Solve for x
    x = 28,227,969/2,423
  6. Step 6: Final answer
    x = 11,650.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.