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Finding the Third Proportional to 25.00 and 52.07

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Solution

The third proportional to 25.00 and 52.07 is: 108.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.00 : 52.07 = 52.07 : x
  2. Step 2: Convert to fraction form
    25.00/52.07 = 52.07/x
  3. Step 3: Cross multiply
    25.00x = 52.07 × 52.07
  4. Step 4: Simplify right side
    25.00x = 2,711.76
  5. Step 5: Solve for x
    x = 2,711.76/25.00
  6. Step 6: Final answer
    x = 108.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.