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Finding the Third Proportional to 48,772 and 77,562

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Solution

The third proportional to 48,772 and 77,562 is: 123,346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,772 : 77,562 = 77,562 : x
  2. Step 2: Convert to fraction form
    48,772/77,562 = 77,562/x
  3. Step 3: Cross multiply
    48,772x = 77,562 × 77,562
  4. Step 4: Simplify right side
    48,772x = 6,015,863,844
  5. Step 5: Solve for x
    x = 6,015,863,844/48,772
  6. Step 6: Final answer
    x = 123,346.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.