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Finding the Third Proportional to 47,654 and 69,889

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Solution

The third proportional to 47,654 and 69,889 is: 102,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,654 : 69,889 = 69,889 : x
  2. Step 2: Convert to fraction form
    47,654/69,889 = 69,889/x
  3. Step 3: Cross multiply
    47,654x = 69,889 × 69,889
  4. Step 4: Simplify right side
    47,654x = 4,884,472,321
  5. Step 5: Solve for x
    x = 4,884,472,321/47,654
  6. Step 6: Final answer
    x = 102,498.68

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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.