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Finding the Third Proportional to 20,594 and 48,605

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Solution

The third proportional to 20,594 and 48,605 is: 114,715.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594 : 48,605 = 48,605 : x
  2. Step 2: Convert to fraction form
    20,594/48,605 = 48,605/x
  3. Step 3: Cross multiply
    20,594x = 48,605 × 48,605
  4. Step 4: Simplify right side
    20,594x = 2,362,446,025
  5. Step 5: Solve for x
    x = 2,362,446,025/20,594
  6. Step 6: Final answer
    x = 114,715.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.