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Finding the Third Proportional to 44,914 and 70,456

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Solution

The third proportional to 44,914 and 70,456 is: 110,523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,914 : 70,456 = 70,456 : x
  2. Step 2: Convert to fraction form
    44,914/70,456 = 70,456/x
  3. Step 3: Cross multiply
    44,914x = 70,456 × 70,456
  4. Step 4: Simplify right side
    44,914x = 4,964,047,936
  5. Step 5: Solve for x
    x = 4,964,047,936/44,914
  6. Step 6: Final answer
    x = 110,523.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.