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Finding the Third Proportional to 14,937 and 32,061

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Solution

The third proportional to 14,937 and 32,061 is: 68,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,937 : 32,061 = 32,061 : x
  2. Step 2: Convert to fraction form
    14,937/32,061 = 32,061/x
  3. Step 3: Cross multiply
    14,937x = 32,061 × 32,061
  4. Step 4: Simplify right side
    14,937x = 1,027,907,721
  5. Step 5: Solve for x
    x = 1,027,907,721/14,937
  6. Step 6: Final answer
    x = 68,816.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.