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Finding the Third Proportional to 12,264.75 and 20,476.13

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Solution

The third proportional to 12,264.75 and 20,476.13 is: 34,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.75 : 20,476.13 = 20,476.13 : x
  2. Step 2: Convert to fraction form
    12,264.75/20,476.13 = 20,476.13/x
  3. Step 3: Cross multiply
    12,264.75x = 20,476.13 × 20,476.13
  4. Step 4: Simplify right side
    12,264.75x = 419,271,695.02
  5. Step 5: Solve for x
    x = 419,271,695.02/12,264.75
  6. Step 6: Final answer
    x = 34,185.10

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.