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Finding the Third Proportional to 28,800 and 45,792

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Solution

The third proportional to 28,800 and 45,792 is: 72,809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,800 : 45,792 = 45,792 : x
  2. Step 2: Convert to fraction form
    28,800/45,792 = 45,792/x
  3. Step 3: Cross multiply
    28,800x = 45,792 × 45,792
  4. Step 4: Simplify right side
    28,800x = 2,096,907,264
  5. Step 5: Solve for x
    x = 2,096,907,264/28,800
  6. Step 6: Final answer
    x = 72,809.28

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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.