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Finding the Third Proportional to 29.63 and 64.13

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Solution

The third proportional to 29.63 and 64.13 is: 138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.63 : 64.13 = 64.13 : x
  2. Step 2: Convert to fraction form
    29.63/64.13 = 64.13/x
  3. Step 3: Cross multiply
    29.63x = 64.13 × 64.13
  4. Step 4: Simplify right side
    29.63x = 4,112.02
  5. Step 5: Solve for x
    x = 4,112.02/29.63
  6. Step 6: Final answer
    x = 138.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.