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Finding the Third Proportional to 19,189.13 and 29,602.69

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Solution

The third proportional to 19,189.13 and 29,602.69 is: 45,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,189.13 : 29,602.69 = 29,602.69 : x
  2. Step 2: Convert to fraction form
    19,189.13/29,602.69 = 29,602.69/x
  3. Step 3: Cross multiply
    19,189.13x = 29,602.69 × 29,602.69
  4. Step 4: Simplify right side
    19,189.13x = 876,319,107.22
  5. Step 5: Solve for x
    x = 876,319,107.22/19,189.13
  6. Step 6: Final answer
    x = 45,667.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.