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Finding the Third Proportional to 12.40 and 29.51

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Solution

The third proportional to 12.40 and 29.51 is: 70.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.40 : 29.51 = 29.51 : x
  2. Step 2: Convert to fraction form
    12.40/29.51 = 29.51/x
  3. Step 3: Cross multiply
    12.40x = 29.51 × 29.51
  4. Step 4: Simplify right side
    12.40x = 870.63
  5. Step 5: Solve for x
    x = 870.63/12.40
  6. Step 6: Final answer
    x = 70.21

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.