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Finding the Third Proportional to 23,984 and 36,310

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Solution

The third proportional to 23,984 and 36,310 is: 54,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,984 : 36,310 = 36,310 : x
  2. Step 2: Convert to fraction form
    23,984/36,310 = 36,310/x
  3. Step 3: Cross multiply
    23,984x = 36,310 × 36,310
  4. Step 4: Simplify right side
    23,984x = 1,318,416,100
  5. Step 5: Solve for x
    x = 1,318,416,100/23,984
  6. Step 6: Final answer
    x = 54,970.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.