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Finding the Third Proportional to 11,404 and 24,430

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Solution

The third proportional to 11,404 and 24,430 is: 52,334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404 : 24,430 = 24,430 : x
  2. Step 2: Convert to fraction form
    11,404/24,430 = 24,430/x
  3. Step 3: Cross multiply
    11,404x = 24,430 × 24,430
  4. Step 4: Simplify right side
    11,404x = 596,824,900
  5. Step 5: Solve for x
    x = 596,824,900/11,404
  6. Step 6: Final answer
    x = 52,334.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.