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Finding the Third Proportional to 9,508.32 and 19,999.09

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Solution

The third proportional to 9,508.32 and 19,999.09 is: 42,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.32 : 19,999.09 = 19,999.09 : x
  2. Step 2: Convert to fraction form
    9,508.32/19,999.09 = 19,999.09/x
  3. Step 3: Cross multiply
    9,508.32x = 19,999.09 × 19,999.09
  4. Step 4: Simplify right side
    9,508.32x = 399,963,594.58
  5. Step 5: Solve for x
    x = 399,963,594.58/9,508.32
  6. Step 6: Final answer
    x = 42,064.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.