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Finding the Third Proportional to 13,539 and 28,989

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Solution

The third proportional to 13,539 and 28,989 is: 62,069.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539 : 28,989 = 28,989 : x
  2. Step 2: Convert to fraction form
    13,539/28,989 = 28,989/x
  3. Step 3: Cross multiply
    13,539x = 28,989 × 28,989
  4. Step 4: Simplify right side
    13,539x = 840,362,121
  5. Step 5: Solve for x
    x = 840,362,121/13,539
  6. Step 6: Final answer
    x = 62,069.73

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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.