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Finding the Third Proportional to 30,340.13 and 47,107.69

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Solution

The third proportional to 30,340.13 and 47,107.69 is: 73,141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,340.13 : 47,107.69 = 47,107.69 : x
  2. Step 2: Convert to fraction form
    30,340.13/47,107.69 = 47,107.69/x
  3. Step 3: Cross multiply
    30,340.13x = 47,107.69 × 47,107.69
  4. Step 4: Simplify right side
    30,340.13x = 2,219,134,221.60
  5. Step 5: Solve for x
    x = 2,219,134,221.60/30,340.13
  6. Step 6: Final answer
    x = 73,141.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.