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Finding the Third Proportional to 47,716 and 69,929

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Solution

The third proportional to 47,716 and 69,929 is: 102,482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,716 : 69,929 = 69,929 : x
  2. Step 2: Convert to fraction form
    47,716/69,929 = 69,929/x
  3. Step 3: Cross multiply
    47,716x = 69,929 × 69,929
  4. Step 4: Simplify right side
    47,716x = 4,890,065,041
  5. Step 5: Solve for x
    x = 4,890,065,041/47,716
  6. Step 6: Final answer
    x = 102,482.71

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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.