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Finding the Third Proportional to 19,126.13 and 29,377.69

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Solution

The third proportional to 19,126.13 and 29,377.69 is: 45,124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,126.13 : 29,377.69 = 29,377.69 : x
  2. Step 2: Convert to fraction form
    19,126.13/29,377.69 = 29,377.69/x
  3. Step 3: Cross multiply
    19,126.13x = 29,377.69 × 29,377.69
  4. Step 4: Simplify right side
    19,126.13x = 863,048,522.85
  5. Step 5: Solve for x
    x = 863,048,522.85/19,126.13
  6. Step 6: Final answer
    x = 45,124.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.