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Finding the Third Proportional to 14,040 and 32,502

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Solution

The third proportional to 14,040 and 32,502 is: 75,240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,040 : 32,502 = 32,502 : x
  2. Step 2: Convert to fraction form
    14,040/32,502 = 32,502/x
  3. Step 3: Cross multiply
    14,040x = 32,502 × 32,502
  4. Step 4: Simplify right side
    14,040x = 1,056,380,004
  5. Step 5: Solve for x
    x = 1,056,380,004/14,040
  6. Step 6: Final answer
    x = 75,240.74

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.