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Finding the Third Proportional to 30,786.75 and 47,017.13

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Solution

The third proportional to 30,786.75 and 47,017.13 is: 71,803.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,786.75 : 47,017.13 = 47,017.13 : x
  2. Step 2: Convert to fraction form
    30,786.75/47,017.13 = 47,017.13/x
  3. Step 3: Cross multiply
    30,786.75x = 47,017.13 × 47,017.13
  4. Step 4: Simplify right side
    30,786.75x = 2,210,610,043.27
  5. Step 5: Solve for x
    x = 2,210,610,043.27/30,786.75
  6. Step 6: Final answer
    x = 71,803.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.