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Finding the Third Proportional to 48,929 and 74,972

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Solution

The third proportional to 48,929 and 74,972 is: 114,876.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,929 : 74,972 = 74,972 : x
  2. Step 2: Convert to fraction form
    48,929/74,972 = 74,972/x
  3. Step 3: Cross multiply
    48,929x = 74,972 × 74,972
  4. Step 4: Simplify right side
    48,929x = 5,620,800,784
  5. Step 5: Solve for x
    x = 5,620,800,784/48,929
  6. Step 6: Final answer
    x = 114,876.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.