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Finding the Third Proportional to 30,133.69 and 45,473.91

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Solution

The third proportional to 30,133.69 and 45,473.91 is: 68,623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,133.69 : 45,473.91 = 45,473.91 : x
  2. Step 2: Convert to fraction form
    30,133.69/45,473.91 = 45,473.91/x
  3. Step 3: Cross multiply
    30,133.69x = 45,473.91 × 45,473.91
  4. Step 4: Simplify right side
    30,133.69x = 2,067,876,149.63
  5. Step 5: Solve for x
    x = 2,067,876,149.63/30,133.69
  6. Step 6: Final answer
    x = 68,623.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.