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Finding the Third Proportional to 19,209.66 and 41,196.09

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Solution

The third proportional to 19,209.66 and 41,196.09 is: 88,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,209.66 : 41,196.09 = 41,196.09 : x
  2. Step 2: Convert to fraction form
    19,209.66/41,196.09 = 41,196.09/x
  3. Step 3: Cross multiply
    19,209.66x = 41,196.09 × 41,196.09
  4. Step 4: Simplify right side
    19,209.66x = 1,697,118,140.26
  5. Step 5: Solve for x
    x = 1,697,118,140.26/19,209.66
  6. Step 6: Final answer
    x = 88,347.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.