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Finding the Third Proportional to 19 and 45.06

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Solution

The third proportional to 19 and 45.06 is: 106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19 : 45.06 = 45.06 : x
  2. Step 2: Convert to fraction form
    19/45.06 = 45.06/x
  3. Step 3: Cross multiply
    19x = 45.06 × 45.06
  4. Step 4: Simplify right side
    19x = 2,030.63
  5. Step 5: Solve for x
    x = 2,030.63/19
  6. Step 6: Final answer
    x = 106.88

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.