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Finding the Third Proportional to 992 and 2,430

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Solution

The third proportional to 992 and 2,430 is: 5,952.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    992 : 2,430 = 2,430 : x
  2. Step 2: Convert to fraction form
    992/2,430 = 2,430/x
  3. Step 3: Cross multiply
    992x = 2,430 × 2,430
  4. Step 4: Simplify right side
    992x = 5,904,900
  5. Step 5: Solve for x
    x = 5,904,900/992
  6. Step 6: Final answer
    x = 5,952.52

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.