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Finding the Third Proportional to 14,688 and 22,005

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Solution

The third proportional to 14,688 and 22,005 is: 32,967.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,688 : 22,005 = 22,005 : x
  2. Step 2: Convert to fraction form
    14,688/22,005 = 22,005/x
  3. Step 3: Cross multiply
    14,688x = 22,005 × 22,005
  4. Step 4: Simplify right side
    14,688x = 484,220,025
  5. Step 5: Solve for x
    x = 484,220,025/14,688
  6. Step 6: Final answer
    x = 32,967.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.