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Finding the Third Proportional to 14,746 and 32,057

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Solution

The third proportional to 14,746 and 32,057 is: 69,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,746 : 32,057 = 32,057 : x
  2. Step 2: Convert to fraction form
    14,746/32,057 = 32,057/x
  3. Step 3: Cross multiply
    14,746x = 32,057 × 32,057
  4. Step 4: Simplify right side
    14,746x = 1,027,651,249
  5. Step 5: Solve for x
    x = 1,027,651,249/14,746
  6. Step 6: Final answer
    x = 69,690.17

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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.