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Finding the Third Proportional to 30.06 and 45.40

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Solution

The third proportional to 30.06 and 45.40 is: 68.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.06 : 45.40 = 45.40 : x
  2. Step 2: Convert to fraction form
    30.06/45.40 = 45.40/x
  3. Step 3: Cross multiply
    30.06x = 45.40 × 45.40
  4. Step 4: Simplify right side
    30.06x = 2,061.55
  5. Step 5: Solve for x
    x = 2,061.55/30.06
  6. Step 6: Final answer
    x = 68.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.