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Finding the Third Proportional to 22,737.38 and 46,602

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Solution

The third proportional to 22,737.38 and 46,602 is: 95,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,737.38 : 46,602 = 46,602 : x
  2. Step 2: Convert to fraction form
    22,737.38/46,602 = 46,602/x
  3. Step 3: Cross multiply
    22,737.38x = 46,602 × 46,602
  4. Step 4: Simplify right side
    22,737.38x = 2,171,746,404
  5. Step 5: Solve for x
    x = 2,171,746,404/22,737.38
  6. Step 6: Final answer
    x = 95,514.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.