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Finding the Third Proportional to 14,102.07 and 30,733.80

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Solution

The third proportional to 14,102.07 and 30,733.80 is: 66,980.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.07 : 30,733.80 = 30,733.80 : x
  2. Step 2: Convert to fraction form
    14,102.07/30,733.80 = 30,733.80/x
  3. Step 3: Cross multiply
    14,102.07x = 30,733.80 × 30,733.80
  4. Step 4: Simplify right side
    14,102.07x = 944,566,750.57
  5. Step 5: Solve for x
    x = 944,566,750.57/14,102.07
  6. Step 6: Final answer
    x = 66,980.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.