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Finding the Third Proportional to 5,108.06 and 12,339.84

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Solution

The third proportional to 5,108.06 and 12,339.84 is: 29,810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.06 : 12,339.84 = 12,339.84 : x
  2. Step 2: Convert to fraction form
    5,108.06/12,339.84 = 12,339.84/x
  3. Step 3: Cross multiply
    5,108.06x = 12,339.84 × 12,339.84
  4. Step 4: Simplify right side
    5,108.06x = 152,271,743.77
  5. Step 5: Solve for x
    x = 152,271,743.77/5,108.06
  6. Step 6: Final answer
    x = 29,810.08

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.