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Finding the Third Proportional to 29 and 71.63

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Solution

The third proportional to 29 and 71.63 is: 176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29 : 71.63 = 71.63 : x
  2. Step 2: Convert to fraction form
    29/71.63 = 71.63/x
  3. Step 3: Cross multiply
    29x = 71.63 × 71.63
  4. Step 4: Simplify right side
    29x = 5,130.14
  5. Step 5: Solve for x
    x = 5,130.14/29
  6. Step 6: Final answer
    x = 176.90

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.