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Finding the Third Proportional to 22,900.50 and 48,261

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Solution

The third proportional to 22,900.50 and 48,261 is: 101,706.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,900.50 : 48,261 = 48,261 : x
  2. Step 2: Convert to fraction form
    22,900.50/48,261 = 48,261/x
  3. Step 3: Cross multiply
    22,900.50x = 48,261 × 48,261
  4. Step 4: Simplify right side
    22,900.50x = 2,329,124,121
  5. Step 5: Solve for x
    x = 2,329,124,121/22,900.50
  6. Step 6: Final answer
    x = 101,706.26

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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.