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Finding the Third Proportional to 14,962 and 32,840

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Solution

The third proportional to 14,962 and 32,840 is: 72,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,962 : 32,840 = 32,840 : x
  2. Step 2: Convert to fraction form
    14,962/32,840 = 32,840/x
  3. Step 3: Cross multiply
    14,962x = 32,840 × 32,840
  4. Step 4: Simplify right side
    14,962x = 1,078,465,600
  5. Step 5: Solve for x
    x = 1,078,465,600/14,962
  6. Step 6: Final answer
    x = 72,080.31

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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.