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Finding the Third Proportional to 14,553 and 32,235

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Solution

The third proportional to 14,553 and 32,235 is: 71,400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553 : 32,235 = 32,235 : x
  2. Step 2: Convert to fraction form
    14,553/32,235 = 32,235/x
  3. Step 3: Cross multiply
    14,553x = 32,235 × 32,235
  4. Step 4: Simplify right side
    14,553x = 1,039,095,225
  5. Step 5: Solve for x
    x = 1,039,095,225/14,553
  6. Step 6: Final answer
    x = 71,400.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.