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Finding the Third Proportional to 12,200.63 and 25,904.81

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Solution

The third proportional to 12,200.63 and 25,904.81 is: 55,002.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.63 : 25,904.81 = 25,904.81 : x
  2. Step 2: Convert to fraction form
    12,200.63/25,904.81 = 25,904.81/x
  3. Step 3: Cross multiply
    12,200.63x = 25,904.81 × 25,904.81
  4. Step 4: Simplify right side
    12,200.63x = 671,059,310.66
  5. Step 5: Solve for x
    x = 671,059,310.66/12,200.63
  6. Step 6: Final answer
    x = 55,002.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.