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Finding the Third Proportional to 14,434.45 and 31,025.53

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Solution

The third proportional to 14,434.45 and 31,025.53 is: 66,686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.45 : 31,025.53 = 31,025.53 : x
  2. Step 2: Convert to fraction form
    14,434.45/31,025.53 = 31,025.53/x
  3. Step 3: Cross multiply
    14,434.45x = 31,025.53 × 31,025.53
  4. Step 4: Simplify right side
    14,434.45x = 962,583,589.34
  5. Step 5: Solve for x
    x = 962,583,589.34/14,434.45
  6. Step 6: Final answer
    x = 66,686.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.