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Finding the Third Proportional to 6,048.42 and 9,123.89

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Solution

The third proportional to 6,048.42 and 9,123.89 is: 13,763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048.42 : 9,123.89 = 9,123.89 : x
  2. Step 2: Convert to fraction form
    6,048.42/9,123.89 = 9,123.89/x
  3. Step 3: Cross multiply
    6,048.42x = 9,123.89 × 9,123.89
  4. Step 4: Simplify right side
    6,048.42x = 83,245,380.14
  5. Step 5: Solve for x
    x = 83,245,380.14/6,048.42
  6. Step 6: Final answer
    x = 13,763.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.