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Finding the Third Proportional to 25,980.75 and 28,410.75

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Solution

The third proportional to 25,980.75 and 28,410.75 is: 31,068.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,980.75 : 28,410.75 = 28,410.75 : x
  2. Step 2: Convert to fraction form
    25,980.75/28,410.75 = 28,410.75/x
  3. Step 3: Cross multiply
    25,980.75x = 28,410.75 × 28,410.75
  4. Step 4: Simplify right side
    25,980.75x = 807,170,715.56
  5. Step 5: Solve for x
    x = 807,170,715.56/25,980.75
  6. Step 6: Final answer
    x = 31,068.03

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.