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Finding the Third Proportional to 4,719.28 and 6,386.46

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Solution

The third proportional to 4,719.28 and 6,386.46 is: 8,642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.28 : 6,386.46 = 6,386.46 : x
  2. Step 2: Convert to fraction form
    4,719.28/6,386.46 = 6,386.46/x
  3. Step 3: Cross multiply
    4,719.28x = 6,386.46 × 6,386.46
  4. Step 4: Simplify right side
    4,719.28x = 40,786,902.02
  5. Step 5: Solve for x
    x = 40,786,902.02/4,719.28
  6. Step 6: Final answer
    x = 8,642.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.