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Finding the Third Proportional to 5,718.38 and 8,420.63

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Solution

The third proportional to 5,718.38 and 8,420.63 is: 12,399.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.38 : 8,420.63 = 8,420.63 : x
  2. Step 2: Convert to fraction form
    5,718.38/8,420.63 = 8,420.63/x
  3. Step 3: Cross multiply
    5,718.38x = 8,420.63 × 8,420.63
  4. Step 4: Simplify right side
    5,718.38x = 70,906,925.39
  5. Step 5: Solve for x
    x = 70,906,925.39/5,718.38
  6. Step 6: Final answer
    x = 12,399.84

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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.