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Finding the Third Proportional to 9,298.13 and 18,128.81

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Solution

The third proportional to 9,298.13 and 18,128.81 is: 35,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.13 : 18,128.81 = 18,128.81 : x
  2. Step 2: Convert to fraction form
    9,298.13/18,128.81 = 18,128.81/x
  3. Step 3: Cross multiply
    9,298.13x = 18,128.81 × 18,128.81
  4. Step 4: Simplify right side
    9,298.13x = 328,653,842.66
  5. Step 5: Solve for x
    x = 328,653,842.66/9,298.13
  6. Step 6: Final answer
    x = 35,346.25

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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.