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Finding the Third Proportional to 14,610 and 32,201

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Solution

The third proportional to 14,610 and 32,201 is: 70,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,610 : 32,201 = 32,201 : x
  2. Step 2: Convert to fraction form
    14,610/32,201 = 32,201/x
  3. Step 3: Cross multiply
    14,610x = 32,201 × 32,201
  4. Step 4: Simplify right side
    14,610x = 1,036,904,401
  5. Step 5: Solve for x
    x = 1,036,904,401/14,610
  6. Step 6: Final answer
    x = 70,972.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.