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Finding the Third Proportional to 19,045.13 and 41,882.06

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Solution

The third proportional to 19,045.13 and 41,882.06 is: 92,102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,045.13 : 41,882.06 = 41,882.06 : x
  2. Step 2: Convert to fraction form
    19,045.13/41,882.06 = 41,882.06/x
  3. Step 3: Cross multiply
    19,045.13x = 41,882.06 × 41,882.06
  4. Step 4: Simplify right side
    19,045.13x = 1,754,107,159.25
  5. Step 5: Solve for x
    x = 1,754,107,159.25/19,045.13
  6. Step 6: Final answer
    x = 92,102.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.