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Finding the Third Proportional to 24,708 and 37,276

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Solution

The third proportional to 24,708 and 37,276 is: 56,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,708 : 37,276 = 37,276 : x
  2. Step 2: Convert to fraction form
    24,708/37,276 = 37,276/x
  3. Step 3: Cross multiply
    24,708x = 37,276 × 37,276
  4. Step 4: Simplify right side
    24,708x = 1,389,500,176
  5. Step 5: Solve for x
    x = 1,389,500,176/24,708
  6. Step 6: Final answer
    x = 56,236.85

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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.