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Finding the Third Proportional to 12,265 and 26,903

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Solution

The third proportional to 12,265 and 26,903 is: 59,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265 : 26,903 = 26,903 : x
  2. Step 2: Convert to fraction form
    12,265/26,903 = 26,903/x
  3. Step 3: Cross multiply
    12,265x = 26,903 × 26,903
  4. Step 4: Simplify right side
    12,265x = 723,771,409
  5. Step 5: Solve for x
    x = 723,771,409/12,265
  6. Step 6: Final answer
    x = 59,011.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.