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Finding the Third Proportional to 12,031 and 26,246

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Solution

The third proportional to 12,031 and 26,246 is: 57,256.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031 : 26,246 = 26,246 : x
  2. Step 2: Convert to fraction form
    12,031/26,246 = 26,246/x
  3. Step 3: Cross multiply
    12,031x = 26,246 × 26,246
  4. Step 4: Simplify right side
    12,031x = 688,852,516
  5. Step 5: Solve for x
    x = 688,852,516/12,031
  6. Step 6: Final answer
    x = 57,256.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.