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Finding the Third Proportional to 47,488 and 73,526

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Solution

The third proportional to 47,488 and 73,526 is: 113,840.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,488 : 73,526 = 73,526 : x
  2. Step 2: Convert to fraction form
    47,488/73,526 = 73,526/x
  3. Step 3: Cross multiply
    47,488x = 73,526 × 73,526
  4. Step 4: Simplify right side
    47,488x = 5,406,072,676
  5. Step 5: Solve for x
    x = 5,406,072,676/47,488
  6. Step 6: Final answer
    x = 113,840.82

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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.