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Finding the Third Proportional to 30,956 and 40,276

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Solution

The third proportional to 30,956 and 40,276 is: 52,402.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,956 : 40,276 = 40,276 : x
  2. Step 2: Convert to fraction form
    30,956/40,276 = 40,276/x
  3. Step 3: Cross multiply
    30,956x = 40,276 × 40,276
  4. Step 4: Simplify right side
    30,956x = 1,622,156,176
  5. Step 5: Solve for x
    x = 1,622,156,176/30,956
  6. Step 6: Final answer
    x = 52,402.00

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.