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Finding the Third Proportional to 24,257 and 36,236

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Solution

The third proportional to 24,257 and 36,236 is: 54,130.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257 : 36,236 = 36,236 : x
  2. Step 2: Convert to fraction form
    24,257/36,236 = 36,236/x
  3. Step 3: Cross multiply
    24,257x = 36,236 × 36,236
  4. Step 4: Simplify right side
    24,257x = 1,313,047,696
  5. Step 5: Solve for x
    x = 1,313,047,696/24,257
  6. Step 6: Final answer
    x = 54,130.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.