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Finding the Third Proportional to 44,864 and 70,385

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Solution

The third proportional to 44,864 and 70,385 is: 110,423.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,864 : 70,385 = 70,385 : x
  2. Step 2: Convert to fraction form
    44,864/70,385 = 70,385/x
  3. Step 3: Cross multiply
    44,864x = 70,385 × 70,385
  4. Step 4: Simplify right side
    44,864x = 4,954,048,225
  5. Step 5: Solve for x
    x = 4,954,048,225/44,864
  6. Step 6: Final answer
    x = 110,423.69

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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.