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Finding the Third Proportional to 13,257 and 28,850.34

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Solution

The third proportional to 13,257 and 28,850.34 is: 62,785.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257 : 28,850.34 = 28,850.34 : x
  2. Step 2: Convert to fraction form
    13,257/28,850.34 = 28,850.34/x
  3. Step 3: Cross multiply
    13,257x = 28,850.34 × 28,850.34
  4. Step 4: Simplify right side
    13,257x = 832,342,334.49
  5. Step 5: Solve for x
    x = 832,342,334.49/13,257
  6. Step 6: Final answer
    x = 62,785.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.