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Finding the Third Proportional to 44,870 and 70,395

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Solution

The third proportional to 44,870 and 70,395 is: 110,440.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,870 : 70,395 = 70,395 : x
  2. Step 2: Convert to fraction form
    44,870/70,395 = 70,395/x
  3. Step 3: Cross multiply
    44,870x = 70,395 × 70,395
  4. Step 4: Simplify right side
    44,870x = 4,955,456,025
  5. Step 5: Solve for x
    x = 4,955,456,025/44,870
  6. Step 6: Final answer
    x = 110,440.29

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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.