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Finding the Third Proportional to 14,903.44 and 31,834.69

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Solution

The third proportional to 14,903.44 and 31,834.69 is: 68,000.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,903.44 : 31,834.69 = 31,834.69 : x
  2. Step 2: Convert to fraction form
    14,903.44/31,834.69 = 31,834.69/x
  3. Step 3: Cross multiply
    14,903.44x = 31,834.69 × 31,834.69
  4. Step 4: Simplify right side
    14,903.44x = 1,013,447,328.22
  5. Step 5: Solve for x
    x = 1,013,447,328.22/14,903.44
  6. Step 6: Final answer
    x = 68,000.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.