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Finding the Third Proportional to 10,971 and 25,929

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Solution

The third proportional to 10,971 and 25,929 is: 61,280.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971 : 25,929 = 25,929 : x
  2. Step 2: Convert to fraction form
    10,971/25,929 = 25,929/x
  3. Step 3: Cross multiply
    10,971x = 25,929 × 25,929
  4. Step 4: Simplify right side
    10,971x = 672,313,041
  5. Step 5: Solve for x
    x = 672,313,041/10,971
  6. Step 6: Final answer
    x = 61,280.93

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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.