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Finding the Third Proportional to 8,833.43 and 19,307.11

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Solution

The third proportional to 8,833.43 and 19,307.11 is: 42,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833.43 : 19,307.11 = 19,307.11 : x
  2. Step 2: Convert to fraction form
    8,833.43/19,307.11 = 19,307.11/x
  3. Step 3: Cross multiply
    8,833.43x = 19,307.11 × 19,307.11
  4. Step 4: Simplify right side
    8,833.43x = 372,764,472.42
  5. Step 5: Solve for x
    x = 372,764,472.42/8,833.43
  6. Step 6: Final answer
    x = 42,199.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.