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Finding the Third Proportional to 44,942 and 70,498

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Solution

The third proportional to 44,942 and 70,498 is: 110,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,942 : 70,498 = 70,498 : x
  2. Step 2: Convert to fraction form
    44,942/70,498 = 70,498/x
  3. Step 3: Cross multiply
    44,942x = 70,498 × 70,498
  4. Step 4: Simplify right side
    44,942x = 4,969,968,004
  5. Step 5: Solve for x
    x = 4,969,968,004/44,942
  6. Step 6: Final answer
    x = 110,586.27

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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.