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Finding the Third Proportional to 6,309.14 and 9,341.58

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Solution

The third proportional to 6,309.14 and 9,341.58 is: 13,831.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.14 : 9,341.58 = 9,341.58 : x
  2. Step 2: Convert to fraction form
    6,309.14/9,341.58 = 9,341.58/x
  3. Step 3: Cross multiply
    6,309.14x = 9,341.58 × 9,341.58
  4. Step 4: Simplify right side
    6,309.14x = 87,265,081.87
  5. Step 5: Solve for x
    x = 87,265,081.87/6,309.14
  6. Step 6: Final answer
    x = 13,831.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.