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Finding the Third Proportional to 6,125.63 and 13,071.38

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Solution

The third proportional to 6,125.63 and 13,071.38 is: 27,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.63 : 13,071.38 = 13,071.38 : x
  2. Step 2: Convert to fraction form
    6,125.63/13,071.38 = 13,071.38/x
  3. Step 3: Cross multiply
    6,125.63x = 13,071.38 × 13,071.38
  4. Step 4: Simplify right side
    6,125.63x = 170,860,844.39
  5. Step 5: Solve for x
    x = 170,860,844.39/6,125.63
  6. Step 6: Final answer
    x = 27,892.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.