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Finding the Third Proportional to 25,704 and 55,602

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Solution

The third proportional to 25,704 and 55,602 is: 120,276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,704 : 55,602 = 55,602 : x
  2. Step 2: Convert to fraction form
    25,704/55,602 = 55,602/x
  3. Step 3: Cross multiply
    25,704x = 55,602 × 55,602
  4. Step 4: Simplify right side
    25,704x = 3,091,582,404
  5. Step 5: Solve for x
    x = 3,091,582,404/25,704
  6. Step 6: Final answer
    x = 120,276.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.