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Finding the Third Proportional to 12,730.08 and 27,967.36

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Solution

The third proportional to 12,730.08 and 27,967.36 is: 61,442.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.08 : 27,967.36 = 27,967.36 : x
  2. Step 2: Convert to fraction form
    12,730.08/27,967.36 = 27,967.36/x
  3. Step 3: Cross multiply
    12,730.08x = 27,967.36 × 27,967.36
  4. Step 4: Simplify right side
    12,730.08x = 782,173,190.41
  5. Step 5: Solve for x
    x = 782,173,190.41/12,730.08
  6. Step 6: Final answer
    x = 61,442.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.