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Finding the Third Proportional to 25,975.50 and 56,793

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Solution

The third proportional to 25,975.50 and 56,793 is: 124,172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,975.50 : 56,793 = 56,793 : x
  2. Step 2: Convert to fraction form
    25,975.50/56,793 = 56,793/x
  3. Step 3: Cross multiply
    25,975.50x = 56,793 × 56,793
  4. Step 4: Simplify right side
    25,975.50x = 3,225,444,849
  5. Step 5: Solve for x
    x = 3,225,444,849/25,975.50
  6. Step 6: Final answer
    x = 124,172.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.