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Finding the Third Proportional to 2,831.63 and 4,154.63

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Solution

The third proportional to 2,831.63 and 4,154.63 is: 6,095.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.63 : 4,154.63 = 4,154.63 : x
  2. Step 2: Convert to fraction form
    2,831.63/4,154.63 = 4,154.63/x
  3. Step 3: Cross multiply
    2,831.63x = 4,154.63 × 4,154.63
  4. Step 4: Simplify right side
    2,831.63x = 17,260,908.89
  5. Step 5: Solve for x
    x = 17,260,908.89/2,831.63
  6. Step 6: Final answer
    x = 6,095.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.