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Finding the Third Proportional to 30,792 and 47,772

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Solution

The third proportional to 30,792 and 47,772 is: 74,115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,792 : 47,772 = 47,772 : x
  2. Step 2: Convert to fraction form
    30,792/47,772 = 47,772/x
  3. Step 3: Cross multiply
    30,792x = 47,772 × 47,772
  4. Step 4: Simplify right side
    30,792x = 2,282,163,984
  5. Step 5: Solve for x
    x = 2,282,163,984/30,792
  6. Step 6: Final answer
    x = 74,115.48

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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.