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Finding the Third Proportional to 12,969 and 20,264.25

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Solution

The third proportional to 12,969 and 20,264.25 is: 31,663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969 : 20,264.25 = 20,264.25 : x
  2. Step 2: Convert to fraction form
    12,969/20,264.25 = 20,264.25/x
  3. Step 3: Cross multiply
    12,969x = 20,264.25 × 20,264.25
  4. Step 4: Simplify right side
    12,969x = 410,639,828.06
  5. Step 5: Solve for x
    x = 410,639,828.06/12,969
  6. Step 6: Final answer
    x = 31,663.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.