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Finding the Third Proportional to 14,611.50 and 22,095

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Solution

The third proportional to 14,611.50 and 22,095 is: 33,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,611.50 : 22,095 = 22,095 : x
  2. Step 2: Convert to fraction form
    14,611.50/22,095 = 22,095/x
  3. Step 3: Cross multiply
    14,611.50x = 22,095 × 22,095
  4. Step 4: Simplify right side
    14,611.50x = 488,189,025
  5. Step 5: Solve for x
    x = 488,189,025/14,611.50
  6. Step 6: Final answer
    x = 33,411.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.