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Finding the Third Proportional to 14.29 and 22.58

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Solution

The third proportional to 14.29 and 22.58 is: 35.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.29 : 22.58 = 22.58 : x
  2. Step 2: Convert to fraction form
    14.29/22.58 = 22.58/x
  3. Step 3: Cross multiply
    14.29x = 22.58 × 22.58
  4. Step 4: Simplify right side
    14.29x = 509.65
  5. Step 5: Solve for x
    x = 509.65/14.29
  6. Step 6: Final answer
    x = 35.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.