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Finding the Third Proportional to 9,104.06 and 12,300.19

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Solution

The third proportional to 9,104.06 and 12,300.19 is: 16,618.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.06 : 12,300.19 = 12,300.19 : x
  2. Step 2: Convert to fraction form
    9,104.06/12,300.19 = 12,300.19/x
  3. Step 3: Cross multiply
    9,104.06x = 12,300.19 × 12,300.19
  4. Step 4: Simplify right side
    9,104.06x = 151,294,612.54
  5. Step 5: Solve for x
    x = 151,294,612.54/9,104.06
  6. Step 6: Final answer
    x = 16,618.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.