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Finding the Third Proportional to 12,465 and 26,361

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Solution

The third proportional to 12,465 and 26,361 is: 55,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465 : 26,361 = 26,361 : x
  2. Step 2: Convert to fraction form
    12,465/26,361 = 26,361/x
  3. Step 3: Cross multiply
    12,465x = 26,361 × 26,361
  4. Step 4: Simplify right side
    12,465x = 694,902,321
  5. Step 5: Solve for x
    x = 694,902,321/12,465
  6. Step 6: Final answer
    x = 55,748.28

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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.