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Finding the Third Proportional to 25.07 and 27.00

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Solution

The third proportional to 25.07 and 27.00 is: 29.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.07 : 27.00 = 27.00 : x
  2. Step 2: Convert to fraction form
    25.07/27.00 = 27.00/x
  3. Step 3: Cross multiply
    25.07x = 27.00 × 27.00
  4. Step 4: Simplify right side
    25.07x = 728.84
  5. Step 5: Solve for x
    x = 728.84/25.07
  6. Step 6: Final answer
    x = 29.07

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.