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Finding the Third Proportional to 14,572 and 31,268

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Solution

The third proportional to 14,572 and 31,268 is: 67,093.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,572 : 31,268 = 31,268 : x
  2. Step 2: Convert to fraction form
    14,572/31,268 = 31,268/x
  3. Step 3: Cross multiply
    14,572x = 31,268 × 31,268
  4. Step 4: Simplify right side
    14,572x = 977,687,824
  5. Step 5: Solve for x
    x = 977,687,824/14,572
  6. Step 6: Final answer
    x = 67,093.59

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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.