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Finding the Third Proportional to 14,905.50 and 32,655

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Solution

The third proportional to 14,905.50 and 32,655 is: 71,540.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905.50 : 32,655 = 32,655 : x
  2. Step 2: Convert to fraction form
    14,905.50/32,655 = 32,655/x
  3. Step 3: Cross multiply
    14,905.50x = 32,655 × 32,655
  4. Step 4: Simplify right side
    14,905.50x = 1,066,349,025
  5. Step 5: Solve for x
    x = 1,066,349,025/14,905.50
  6. Step 6: Final answer
    x = 71,540.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.