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Finding the Third Proportional to 19,707 and 45,575.25

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Solution

The third proportional to 19,707 and 45,575.25 is: 105,399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,707 : 45,575.25 = 45,575.25 : x
  2. Step 2: Convert to fraction form
    19,707/45,575.25 = 45,575.25/x
  3. Step 3: Cross multiply
    19,707x = 45,575.25 × 45,575.25
  4. Step 4: Simplify right side
    19,707x = 2,077,103,412.56
  5. Step 5: Solve for x
    x = 2,077,103,412.56/19,707
  6. Step 6: Final answer
    x = 105,399.27

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.