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Finding the Third Proportional to 47,013.75 and 101,013.75

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Solution

The third proportional to 47,013.75 and 101,013.75 is: 217,038.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,013.75 : 101,013.75 = 101,013.75 : x
  2. Step 2: Convert to fraction form
    47,013.75/101,013.75 = 101,013.75/x
  3. Step 3: Cross multiply
    47,013.75x = 101,013.75 × 101,013.75
  4. Step 4: Simplify right side
    47,013.75x = 10,203,777,689.06
  5. Step 5: Solve for x
    x = 10,203,777,689.06/47,013.75
  6. Step 6: Final answer
    x = 217,038.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.