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Finding the Third Proportional to 4,184.16 and 6,124.36

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Solution

The third proportional to 4,184.16 and 6,124.36 is: 8,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.16 : 6,124.36 = 6,124.36 : x
  2. Step 2: Convert to fraction form
    4,184.16/6,124.36 = 6,124.36/x
  3. Step 3: Cross multiply
    4,184.16x = 6,124.36 × 6,124.36
  4. Step 4: Simplify right side
    4,184.16x = 37,507,777.75
  5. Step 5: Solve for x
    x = 37,507,777.75/4,184.16
  6. Step 6: Final answer
    x = 8,964.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.