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Finding the Third Proportional to 6,007.92 and 9,298.55

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Solution

The third proportional to 6,007.92 and 9,298.55 is: 14,391.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.92 : 9,298.55 = 9,298.55 : x
  2. Step 2: Convert to fraction form
    6,007.92/9,298.55 = 9,298.55/x
  3. Step 3: Cross multiply
    6,007.92x = 9,298.55 × 9,298.55
  4. Step 4: Simplify right side
    6,007.92x = 86,462,973.99
  5. Step 5: Solve for x
    x = 86,462,973.99/6,007.92
  6. Step 6: Final answer
    x = 14,391.49

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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.