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Finding the Third Proportional to 47,706 and 70,100

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Solution

The third proportional to 47,706 and 70,100 is: 103,006.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,706 : 70,100 = 70,100 : x
  2. Step 2: Convert to fraction form
    47,706/70,100 = 70,100/x
  3. Step 3: Cross multiply
    47,706x = 70,100 × 70,100
  4. Step 4: Simplify right side
    47,706x = 4,914,010,000
  5. Step 5: Solve for x
    x = 4,914,010,000/47,706
  6. Step 6: Final answer
    x = 103,006.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.