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Finding the Third Proportional to 19,005.38 and 40,471.13

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Solution

The third proportional to 19,005.38 and 40,471.13 is: 86,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,005.38 : 40,471.13 = 40,471.13 : x
  2. Step 2: Convert to fraction form
    19,005.38/40,471.13 = 40,471.13/x
  3. Step 3: Cross multiply
    19,005.38x = 40,471.13 × 40,471.13
  4. Step 4: Simplify right side
    19,005.38x = 1,637,911,958.77
  5. Step 5: Solve for x
    x = 1,637,911,958.77/19,005.38
  6. Step 6: Final answer
    x = 86,181.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.