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Finding the Third Proportional to 19,098 and 45,420.75

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Solution

The third proportional to 19,098 and 45,420.75 is: 108,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,098 : 45,420.75 = 45,420.75 : x
  2. Step 2: Convert to fraction form
    19,098/45,420.75 = 45,420.75/x
  3. Step 3: Cross multiply
    19,098x = 45,420.75 × 45,420.75
  4. Step 4: Simplify right side
    19,098x = 2,063,044,530.56
  5. Step 5: Solve for x
    x = 2,063,044,530.56/19,098
  6. Step 6: Final answer
    x = 108,024.11

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.