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Finding the Third Proportional to 12,959 and 31,238

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Solution

The third proportional to 12,959 and 31,238 is: 75,300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959 : 31,238 = 31,238 : x
  2. Step 2: Convert to fraction form
    12,959/31,238 = 31,238/x
  3. Step 3: Cross multiply
    12,959x = 31,238 × 31,238
  4. Step 4: Simplify right side
    12,959x = 975,812,644
  5. Step 5: Solve for x
    x = 975,812,644/12,959
  6. Step 6: Final answer
    x = 75,300.00

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.