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Finding the Third Proportional to 29.90 and 40.58

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Solution

The third proportional to 29.90 and 40.58 is: 55.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.90 : 40.58 = 40.58 : x
  2. Step 2: Convert to fraction form
    29.90/40.58 = 40.58/x
  3. Step 3: Cross multiply
    29.90x = 40.58 × 40.58
  4. Step 4: Simplify right side
    29.90x = 1,646.66
  5. Step 5: Solve for x
    x = 1,646.66/29.90
  6. Step 6: Final answer
    x = 55.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.