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Finding the Third Proportional to 7,541.44 and 12,831.75

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Solution

The third proportional to 7,541.44 and 12,831.75 is: 21,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.44 : 12,831.75 = 12,831.75 : x
  2. Step 2: Convert to fraction form
    7,541.44/12,831.75 = 12,831.75/x
  3. Step 3: Cross multiply
    7,541.44x = 12,831.75 × 12,831.75
  4. Step 4: Simplify right side
    7,541.44x = 164,653,808.06
  5. Step 5: Solve for x
    x = 164,653,808.06/7,541.44
  6. Step 6: Final answer
    x = 21,833.21

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.