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Finding the Third Proportional to 30,165.75 and 49,987.13

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Solution

The third proportional to 30,165.75 and 49,987.13 is: 82,832.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,165.75 : 49,987.13 = 49,987.13 : x
  2. Step 2: Convert to fraction form
    30,165.75/49,987.13 = 49,987.13/x
  3. Step 3: Cross multiply
    30,165.75x = 49,987.13 × 49,987.13
  4. Step 4: Simplify right side
    30,165.75x = 2,498,712,665.77
  5. Step 5: Solve for x
    x = 2,498,712,665.77/30,165.75
  6. Step 6: Final answer
    x = 82,832.77

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.