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Finding the Third Proportional to 9,260.16 and 18,051.19

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Solution

The third proportional to 9,260.16 and 18,051.19 is: 35,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.16 : 18,051.19 = 18,051.19 : x
  2. Step 2: Convert to fraction form
    9,260.16/18,051.19 = 18,051.19/x
  3. Step 3: Cross multiply
    9,260.16x = 18,051.19 × 18,051.19
  4. Step 4: Simplify right side
    9,260.16x = 325,845,370.16
  5. Step 5: Solve for x
    x = 325,845,370.16/9,260.16
  6. Step 6: Final answer
    x = 35,187.89

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.