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Finding the Third Proportional to 16,580 and 32,314

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Solution

The third proportional to 16,580 and 32,314 is: 62,979.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580 : 32,314 = 32,314 : x
  2. Step 2: Convert to fraction form
    16,580/32,314 = 32,314/x
  3. Step 3: Cross multiply
    16,580x = 32,314 × 32,314
  4. Step 4: Simplify right side
    16,580x = 1,044,194,596
  5. Step 5: Solve for x
    x = 1,044,194,596/16,580
  6. Step 6: Final answer
    x = 62,979.17

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.