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Finding the Third Proportional to 47,029.50 and 100,437.19

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Solution

The third proportional to 47,029.50 and 100,437.19 is: 214,495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,029.50 : 100,437.19 = 100,437.19 : x
  2. Step 2: Convert to fraction form
    47,029.50/100,437.19 = 100,437.19/x
  3. Step 3: Cross multiply
    47,029.50x = 100,437.19 × 100,437.19
  4. Step 4: Simplify right side
    47,029.50x = 10,087,628,632.91
  5. Step 5: Solve for x
    x = 10,087,628,632.91/47,029.50
  6. Step 6: Final answer
    x = 214,495.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.