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Finding the Third Proportional to 45,940 and 66,236

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Solution

The third proportional to 45,940 and 66,236 is: 95,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,940 : 66,236 = 66,236 : x
  2. Step 2: Convert to fraction form
    45,940/66,236 = 66,236/x
  3. Step 3: Cross multiply
    45,940x = 66,236 × 66,236
  4. Step 4: Simplify right side
    45,940x = 4,387,207,696
  5. Step 5: Solve for x
    x = 4,387,207,696/45,940
  6. Step 6: Final answer
    x = 95,498.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.