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Finding the Third Proportional to 19,508.34 and 45,509.34

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Solution

The third proportional to 19,508.34 and 45,509.34 is: 106,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,508.34 : 45,509.34 = 45,509.34 : x
  2. Step 2: Convert to fraction form
    19,508.34/45,509.34 = 45,509.34/x
  3. Step 3: Cross multiply
    19,508.34x = 45,509.34 × 45,509.34
  4. Step 4: Simplify right side
    19,508.34x = 2,071,100,368.56
  5. Step 5: Solve for x
    x = 2,071,100,368.56/19,508.34
  6. Step 6: Final answer
    x = 106,164.85

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.