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Finding the Third Proportional to 25.51 and 40.58

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Solution

The third proportional to 25.51 and 40.58 is: 64.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.51 : 40.58 = 40.58 : x
  2. Step 2: Convert to fraction form
    25.51/40.58 = 40.58/x
  3. Step 3: Cross multiply
    25.51x = 40.58 × 40.58
  4. Step 4: Simplify right side
    25.51x = 1,646.66
  5. Step 5: Solve for x
    x = 1,646.66/25.51
  6. Step 6: Final answer
    x = 64.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.