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Finding the Third Proportional to 45,420 and 70,890

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Solution

The third proportional to 45,420 and 70,890 is: 110,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,420 : 70,890 = 70,890 : x
  2. Step 2: Convert to fraction form
    45,420/70,890 = 70,890/x
  3. Step 3: Cross multiply
    45,420x = 70,890 × 70,890
  4. Step 4: Simplify right side
    45,420x = 5,025,392,100
  5. Step 5: Solve for x
    x = 5,025,392,100/45,420
  6. Step 6: Final answer
    x = 110,642.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.