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Finding the Third Proportional to 12,459 and 26,323

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Solution

The third proportional to 12,459 and 26,323 is: 55,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,459 : 26,323 = 26,323 : x
  2. Step 2: Convert to fraction form
    12,459/26,323 = 26,323/x
  3. Step 3: Cross multiply
    12,459x = 26,323 × 26,323
  4. Step 4: Simplify right side
    12,459x = 692,900,329
  5. Step 5: Solve for x
    x = 692,900,329/12,459
  6. Step 6: Final answer
    x = 55,614.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.