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Finding the Third Proportional to 47,962.13 and 70,201.69

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Solution

The third proportional to 47,962.13 and 70,201.69 is: 102,753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,962.13 : 70,201.69 = 70,201.69 : x
  2. Step 2: Convert to fraction form
    47,962.13/70,201.69 = 70,201.69/x
  3. Step 3: Cross multiply
    47,962.13x = 70,201.69 × 70,201.69
  4. Step 4: Simplify right side
    47,962.13x = 4,928,276,927.85
  5. Step 5: Solve for x
    x = 4,928,276,927.85/47,962.13
  6. Step 6: Final answer
    x = 102,753.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.