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Finding the Third Proportional to 9,821.45 and 15,048.80

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Solution

The third proportional to 9,821.45 and 15,048.80 is: 23,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.45 : 15,048.80 = 15,048.80 : x
  2. Step 2: Convert to fraction form
    9,821.45/15,048.80 = 15,048.80/x
  3. Step 3: Cross multiply
    9,821.45x = 15,048.80 × 15,048.80
  4. Step 4: Simplify right side
    9,821.45x = 226,466,243.30
  5. Step 5: Solve for x
    x = 226,466,243.30/9,821.45
  6. Step 6: Final answer
    x = 23,058.34

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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.