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Finding the Third Proportional to 14,737 and 32,039

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Solution

The third proportional to 14,737 and 32,039 is: 69,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,737 : 32,039 = 32,039 : x
  2. Step 2: Convert to fraction form
    14,737/32,039 = 32,039/x
  3. Step 3: Cross multiply
    14,737x = 32,039 × 32,039
  4. Step 4: Simplify right side
    14,737x = 1,026,497,521
  5. Step 5: Solve for x
    x = 1,026,497,521/14,737
  6. Step 6: Final answer
    x = 69,654.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.