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Finding the Third Proportional to 47,713.50 and 95,421.75

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Solution

The third proportional to 47,713.50 and 95,421.75 is: 190,833.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,713.50 : 95,421.75 = 95,421.75 : x
  2. Step 2: Convert to fraction form
    47,713.50/95,421.75 = 95,421.75/x
  3. Step 3: Cross multiply
    47,713.50x = 95,421.75 × 95,421.75
  4. Step 4: Simplify right side
    47,713.50x = 9,105,310,373.06
  5. Step 5: Solve for x
    x = 9,105,310,373.06/47,713.50
  6. Step 6: Final answer
    x = 190,833.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.