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Finding the Third Proportional to 12,675 and 28,264.50

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Solution

The third proportional to 12,675 and 28,264.50 is: 63,028.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675 : 28,264.50 = 28,264.50 : x
  2. Step 2: Convert to fraction form
    12,675/28,264.50 = 28,264.50/x
  3. Step 3: Cross multiply
    12,675x = 28,264.50 × 28,264.50
  4. Step 4: Simplify right side
    12,675x = 798,881,960.25
  5. Step 5: Solve for x
    x = 798,881,960.25/12,675
  6. Step 6: Final answer
    x = 63,028.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.