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Finding the Third Proportional to 22,047 and 46,605

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Solution

The third proportional to 22,047 and 46,605 is: 98,517.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,047 : 46,605 = 46,605 : x
  2. Step 2: Convert to fraction form
    22,047/46,605 = 46,605/x
  3. Step 3: Cross multiply
    22,047x = 46,605 × 46,605
  4. Step 4: Simplify right side
    22,047x = 2,172,026,025
  5. Step 5: Solve for x
    x = 2,172,026,025/22,047
  6. Step 6: Final answer
    x = 98,517.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.