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Finding the Third Proportional to 9,145.41 and 18,807.19

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Solution

The third proportional to 9,145.41 and 18,807.19 is: 38,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.41 : 18,807.19 = 18,807.19 : x
  2. Step 2: Convert to fraction form
    9,145.41/18,807.19 = 18,807.19/x
  3. Step 3: Cross multiply
    9,145.41x = 18,807.19 × 18,807.19
  4. Step 4: Simplify right side
    9,145.41x = 353,710,301.66
  5. Step 5: Solve for x
    x = 353,710,301.66/9,145.41
  6. Step 6: Final answer
    x = 38,676.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.