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Finding the Third Proportional to 25,285.50 and 27,445.50

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Solution

The third proportional to 25,285.50 and 27,445.50 is: 29,790.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,285.50 : 27,445.50 = 27,445.50 : x
  2. Step 2: Convert to fraction form
    25,285.50/27,445.50 = 27,445.50/x
  3. Step 3: Cross multiply
    25,285.50x = 27,445.50 × 27,445.50
  4. Step 4: Simplify right side
    25,285.50x = 753,255,470.25
  5. Step 5: Solve for x
    x = 753,255,470.25/25,285.50
  6. Step 6: Final answer
    x = 29,790.02

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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.