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Finding the Third Proportional to 13,021 and 26,965.13

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Solution

The third proportional to 13,021 and 26,965.13 is: 55,841.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021 : 26,965.13 = 26,965.13 : x
  2. Step 2: Convert to fraction form
    13,021/26,965.13 = 26,965.13/x
  3. Step 3: Cross multiply
    13,021x = 26,965.13 × 26,965.13
  4. Step 4: Simplify right side
    13,021x = 727,117,966.27
  5. Step 5: Solve for x
    x = 727,117,966.27/13,021
  6. Step 6: Final answer
    x = 55,841.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.