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Finding the Third Proportional to 14,669 and 31,155

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Solution

The third proportional to 14,669 and 31,155 is: 66,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,669 : 31,155 = 31,155 : x
  2. Step 2: Convert to fraction form
    14,669/31,155 = 31,155/x
  3. Step 3: Cross multiply
    14,669x = 31,155 × 31,155
  4. Step 4: Simplify right side
    14,669x = 970,634,025
  5. Step 5: Solve for x
    x = 970,634,025/14,669
  6. Step 6: Final answer
    x = 66,169.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.