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Finding the Third Proportional to 19,090.69 and 21,232.13

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Solution

The third proportional to 19,090.69 and 21,232.13 is: 23,613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,090.69 : 21,232.13 = 21,232.13 : x
  2. Step 2: Convert to fraction form
    19,090.69/21,232.13 = 21,232.13/x
  3. Step 3: Cross multiply
    19,090.69x = 21,232.13 × 21,232.13
  4. Step 4: Simplify right side
    19,090.69x = 450,803,132.02
  5. Step 5: Solve for x
    x = 450,803,132.02/19,090.69
  6. Step 6: Final answer
    x = 23,613.77

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.