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Finding the Third Proportional to 4,763.81 and 8,403.19

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Solution

The third proportional to 4,763.81 and 8,403.19 is: 14,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.81 : 8,403.19 = 8,403.19 : x
  2. Step 2: Convert to fraction form
    4,763.81/8,403.19 = 8,403.19/x
  3. Step 3: Cross multiply
    4,763.81x = 8,403.19 × 8,403.19
  4. Step 4: Simplify right side
    4,763.81x = 70,613,560.16
  5. Step 5: Solve for x
    x = 70,613,560.16/4,763.81
  6. Step 6: Final answer
    x = 14,822.91

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.