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Finding the Third Proportional to 19,090.69 and 39,924.14

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Solution

The third proportional to 19,090.69 and 39,924.14 is: 83,492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,090.69 : 39,924.14 = 39,924.14 : x
  2. Step 2: Convert to fraction form
    19,090.69/39,924.14 = 39,924.14/x
  3. Step 3: Cross multiply
    19,090.69x = 39,924.14 × 39,924.14
  4. Step 4: Simplify right side
    19,090.69x = 1,593,937,004.64
  5. Step 5: Solve for x
    x = 1,593,937,004.64/19,090.69
  6. Step 6: Final answer
    x = 83,492.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.