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Finding the Third Proportional to 47,526 and 74,751

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Solution

The third proportional to 47,526 and 74,751 is: 117,571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,526 : 74,751 = 74,751 : x
  2. Step 2: Convert to fraction form
    47,526/74,751 = 74,751/x
  3. Step 3: Cross multiply
    47,526x = 74,751 × 74,751
  4. Step 4: Simplify right side
    47,526x = 5,587,712,001
  5. Step 5: Solve for x
    x = 5,587,712,001/47,526
  6. Step 6: Final answer
    x = 117,571.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.