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Finding the Third Proportional to 25,683.75 and 52,074

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Solution

The third proportional to 25,683.75 and 52,074 is: 105,580.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,683.75 : 52,074 = 52,074 : x
  2. Step 2: Convert to fraction form
    25,683.75/52,074 = 52,074/x
  3. Step 3: Cross multiply
    25,683.75x = 52,074 × 52,074
  4. Step 4: Simplify right side
    25,683.75x = 2,711,701,476
  5. Step 5: Solve for x
    x = 2,711,701,476/25,683.75
  6. Step 6: Final answer
    x = 105,580.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.