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Finding the Third Proportional to 47,871.75 and 75,767.63

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Solution

The third proportional to 47,871.75 and 75,767.63 is: 119,919.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,871.75 : 75,767.63 = 75,767.63 : x
  2. Step 2: Convert to fraction form
    47,871.75/75,767.63 = 75,767.63/x
  3. Step 3: Cross multiply
    47,871.75x = 75,767.63 × 75,767.63
  4. Step 4: Simplify right side
    47,871.75x = 5,740,732,998.14
  5. Step 5: Solve for x
    x = 5,740,732,998.14/47,871.75
  6. Step 6: Final answer
    x = 119,919.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.