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Finding the Third Proportional to 44,427 and 70,338

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Solution

The third proportional to 44,427 and 70,338 is: 111,360.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,427 : 70,338 = 70,338 : x
  2. Step 2: Convert to fraction form
    44,427/70,338 = 70,338/x
  3. Step 3: Cross multiply
    44,427x = 70,338 × 70,338
  4. Step 4: Simplify right side
    44,427x = 4,947,434,244
  5. Step 5: Solve for x
    x = 4,947,434,244/44,427
  6. Step 6: Final answer
    x = 111,360.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.