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Finding the Third Proportional to 10,973 and 25,889

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Solution

The third proportional to 10,973 and 25,889 is: 61,080.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973 : 25,889 = 25,889 : x
  2. Step 2: Convert to fraction form
    10,973/25,889 = 25,889/x
  3. Step 3: Cross multiply
    10,973x = 25,889 × 25,889
  4. Step 4: Simplify right side
    10,973x = 670,240,321
  5. Step 5: Solve for x
    x = 670,240,321/10,973
  6. Step 6: Final answer
    x = 61,080.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.