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Finding the Third Proportional to 12,309 and 26,583

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Solution

The third proportional to 12,309 and 26,583 is: 57,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309 : 26,583 = 26,583 : x
  2. Step 2: Convert to fraction form
    12,309/26,583 = 26,583/x
  3. Step 3: Cross multiply
    12,309x = 26,583 × 26,583
  4. Step 4: Simplify right side
    12,309x = 706,655,889
  5. Step 5: Solve for x
    x = 706,655,889/12,309
  6. Step 6: Final answer
    x = 57,409.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.