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Finding the Third Proportional to 29,510 and 44,254

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Solution

The third proportional to 29,510 and 44,254 is: 66,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,510 : 44,254 = 44,254 : x
  2. Step 2: Convert to fraction form
    29,510/44,254 = 44,254/x
  3. Step 3: Cross multiply
    29,510x = 44,254 × 44,254
  4. Step 4: Simplify right side
    29,510x = 1,958,416,516
  5. Step 5: Solve for x
    x = 1,958,416,516/29,510
  6. Step 6: Final answer
    x = 66,364.50

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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.