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Finding the Third Proportional to 19,045.13 and 28,947.38

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Solution

The third proportional to 19,045.13 and 28,947.38 is: 43,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,045.13 : 28,947.38 = 28,947.38 : x
  2. Step 2: Convert to fraction form
    19,045.13/28,947.38 = 28,947.38/x
  3. Step 3: Cross multiply
    19,045.13x = 28,947.38 × 28,947.38
  4. Step 4: Simplify right side
    19,045.13x = 837,950,519.39
  5. Step 5: Solve for x
    x = 837,950,519.39/19,045.13
  6. Step 6: Final answer
    x = 43,998.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.