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Finding the Third Proportional to 4,632.19 and 12,074.06

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Solution

The third proportional to 4,632.19 and 12,074.06 is: 31,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.19 : 12,074.06 = 12,074.06 : x
  2. Step 2: Convert to fraction form
    4,632.19/12,074.06 = 12,074.06/x
  3. Step 3: Cross multiply
    4,632.19x = 12,074.06 × 12,074.06
  4. Step 4: Simplify right side
    4,632.19x = 145,782,985.25
  5. Step 5: Solve for x
    x = 145,782,985.25/4,632.19
  6. Step 6: Final answer
    x = 31,471.74

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.