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Finding the Third Proportional to 24,264 and 36,430

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Solution

The third proportional to 24,264 and 36,430 is: 54,696.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,264 : 36,430 = 36,430 : x
  2. Step 2: Convert to fraction form
    24,264/36,430 = 36,430/x
  3. Step 3: Cross multiply
    24,264x = 36,430 × 36,430
  4. Step 4: Simplify right side
    24,264x = 1,327,144,900
  5. Step 5: Solve for x
    x = 1,327,144,900/24,264
  6. Step 6: Final answer
    x = 54,696.05

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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.