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Finding the Third Proportional to 44,860 and 70,380

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Solution

The third proportional to 44,860 and 70,380 is: 110,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,860 : 70,380 = 70,380 : x
  2. Step 2: Convert to fraction form
    44,860/70,380 = 70,380/x
  3. Step 3: Cross multiply
    44,860x = 70,380 × 70,380
  4. Step 4: Simplify right side
    44,860x = 4,953,344,400
  5. Step 5: Solve for x
    x = 4,953,344,400/44,860
  6. Step 6: Final answer
    x = 110,417.84

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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.