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Finding the Third Proportional to 44,954 and 64,754

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Solution

The third proportional to 44,954 and 64,754 is: 93,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,954 : 64,754 = 64,754 : x
  2. Step 2: Convert to fraction form
    44,954/64,754 = 64,754/x
  3. Step 3: Cross multiply
    44,954x = 64,754 × 64,754
  4. Step 4: Simplify right side
    44,954x = 4,193,080,516
  5. Step 5: Solve for x
    x = 4,193,080,516/44,954
  6. Step 6: Final answer
    x = 93,274.91

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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.