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Finding the Third Proportional to 22,737 and 49,095

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Solution

The third proportional to 22,737 and 49,095 is: 106,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,737 : 49,095 = 49,095 : x
  2. Step 2: Convert to fraction form
    22,737/49,095 = 49,095/x
  3. Step 3: Cross multiply
    22,737x = 49,095 × 49,095
  4. Step 4: Simplify right side
    22,737x = 2,410,319,025
  5. Step 5: Solve for x
    x = 2,410,319,025/22,737
  6. Step 6: Final answer
    x = 106,008.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.