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Finding the Third Proportional to 19,106.13 and 21,475.38

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Solution

The third proportional to 19,106.13 and 21,475.38 is: 24,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,106.13 : 21,475.38 = 21,475.38 : x
  2. Step 2: Convert to fraction form
    19,106.13/21,475.38 = 21,475.38/x
  3. Step 3: Cross multiply
    19,106.13x = 21,475.38 × 21,475.38
  4. Step 4: Simplify right side
    19,106.13x = 461,191,731.39
  5. Step 5: Solve for x
    x = 461,191,731.39/19,106.13
  6. Step 6: Final answer
    x = 24,138.42

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.