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Finding the Third Proportional to 30.02 and 46.58

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Solution

The third proportional to 30.02 and 46.58 is: 72.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.02 : 46.58 = 46.58 : x
  2. Step 2: Convert to fraction form
    30.02/46.58 = 46.58/x
  3. Step 3: Cross multiply
    30.02x = 46.58 × 46.58
  4. Step 4: Simplify right side
    30.02x = 2,169.89
  5. Step 5: Solve for x
    x = 2,169.89/30.02
  6. Step 6: Final answer
    x = 72.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.