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Finding the Third Proportional to 14,000 and 32,708

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Solution

The third proportional to 14,000 and 32,708 is: 76,415.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000 : 32,708 = 32,708 : x
  2. Step 2: Convert to fraction form
    14,000/32,708 = 32,708/x
  3. Step 3: Cross multiply
    14,000x = 32,708 × 32,708
  4. Step 4: Simplify right side
    14,000x = 1,069,813,264
  5. Step 5: Solve for x
    x = 1,069,813,264/14,000
  6. Step 6: Final answer
    x = 76,415.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.