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Finding the Third Proportional to 20,598 and 45,108

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Solution

The third proportional to 20,598 and 45,108 is: 98,782.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,598 : 45,108 = 45,108 : x
  2. Step 2: Convert to fraction form
    20,598/45,108 = 45,108/x
  3. Step 3: Cross multiply
    20,598x = 45,108 × 45,108
  4. Step 4: Simplify right side
    20,598x = 2,034,731,664
  5. Step 5: Solve for x
    x = 2,034,731,664/20,598
  6. Step 6: Final answer
    x = 98,782.97

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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.