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Finding the Third Proportional to 22,522.50 and 46,522.13

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Solution

The third proportional to 22,522.50 and 46,522.13 is: 96,095.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,522.50 : 46,522.13 = 46,522.13 : x
  2. Step 2: Convert to fraction form
    22,522.50/46,522.13 = 46,522.13/x
  3. Step 3: Cross multiply
    22,522.50x = 46,522.13 × 46,522.13
  4. Step 4: Simplify right side
    22,522.50x = 2,164,308,114.52
  5. Step 5: Solve for x
    x = 2,164,308,114.52/22,522.50
  6. Step 6: Final answer
    x = 96,095.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.