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Finding the Third Proportional to 49,302 and 70,495.88

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Solution

The third proportional to 49,302 and 70,495.88 is: 100,800.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,302 : 70,495.88 = 70,495.88 : x
  2. Step 2: Convert to fraction form
    49,302/70,495.88 = 70,495.88/x
  3. Step 3: Cross multiply
    49,302x = 70,495.88 × 70,495.88
  4. Step 4: Simplify right side
    49,302x = 4,969,668,392.02
  5. Step 5: Solve for x
    x = 4,969,668,392.02/49,302
  6. Step 6: Final answer
    x = 100,800.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.