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Finding the Third Proportional to 24,323 and 36,430

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Solution

The third proportional to 24,323 and 36,430 is: 54,563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,323 : 36,430 = 36,430 : x
  2. Step 2: Convert to fraction form
    24,323/36,430 = 36,430/x
  3. Step 3: Cross multiply
    24,323x = 36,430 × 36,430
  4. Step 4: Simplify right side
    24,323x = 1,327,144,900
  5. Step 5: Solve for x
    x = 1,327,144,900/24,323
  6. Step 6: Final answer
    x = 54,563.37

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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.