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Finding the Third Proportional to 47,620 and 69,953

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Solution

The third proportional to 47,620 and 69,953 is: 102,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,620 : 69,953 = 69,953 : x
  2. Step 2: Convert to fraction form
    47,620/69,953 = 69,953/x
  3. Step 3: Cross multiply
    47,620x = 69,953 × 69,953
  4. Step 4: Simplify right side
    47,620x = 4,893,422,209
  5. Step 5: Solve for x
    x = 4,893,422,209/47,620
  6. Step 6: Final answer
    x = 102,759.81

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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.