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Finding the Third Proportional to 25,152.75 and 52,368.75

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Solution

The third proportional to 25,152.75 and 52,368.75 is: 109,033.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,152.75 : 52,368.75 = 52,368.75 : x
  2. Step 2: Convert to fraction form
    25,152.75/52,368.75 = 52,368.75/x
  3. Step 3: Cross multiply
    25,152.75x = 52,368.75 × 52,368.75
  4. Step 4: Simplify right side
    25,152.75x = 2,742,485,976.56
  5. Step 5: Solve for x
    x = 2,742,485,976.56/25,152.75
  6. Step 6: Final answer
    x = 109,033.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.