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Finding the Third Proportional to 29.58 and 64.08

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Solution

The third proportional to 29.58 and 64.08 is: 138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.58 : 64.08 = 64.08 : x
  2. Step 2: Convert to fraction form
    29.58/64.08 = 64.08/x
  3. Step 3: Cross multiply
    29.58x = 64.08 × 64.08
  4. Step 4: Simplify right side
    29.58x = 4,106.01
  5. Step 5: Solve for x
    x = 4,106.01/29.58
  6. Step 6: Final answer
    x = 138.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.