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Finding the Third Proportional to 7,300.13 and 9,357.19

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Solution

The third proportional to 7,300.13 and 9,357.19 is: 11,993.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300.13 : 9,357.19 = 9,357.19 : x
  2. Step 2: Convert to fraction form
    7,300.13/9,357.19 = 9,357.19/x
  3. Step 3: Cross multiply
    7,300.13x = 9,357.19 × 9,357.19
  4. Step 4: Simplify right side
    7,300.13x = 87,556,957.91
  5. Step 5: Solve for x
    x = 87,556,957.91/7,300.13
  6. Step 6: Final answer
    x = 11,993.90

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.