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Finding the Third Proportional to 12,485 and 26,725

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Solution

The third proportional to 12,485 and 26,725 is: 57,206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,485 : 26,725 = 26,725 : x
  2. Step 2: Convert to fraction form
    12,485/26,725 = 26,725/x
  3. Step 3: Cross multiply
    12,485x = 26,725 × 26,725
  4. Step 4: Simplify right side
    12,485x = 714,225,625
  5. Step 5: Solve for x
    x = 714,225,625/12,485
  6. Step 6: Final answer
    x = 57,206.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.