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Finding the Third Proportional to 16,700 and 23,348

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Solution

The third proportional to 16,700 and 23,348 is: 32,642.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,700 : 23,348 = 23,348 : x
  2. Step 2: Convert to fraction form
    16,700/23,348 = 23,348/x
  3. Step 3: Cross multiply
    16,700x = 23,348 × 23,348
  4. Step 4: Simplify right side
    16,700x = 545,129,104
  5. Step 5: Solve for x
    x = 545,129,104/16,700
  6. Step 6: Final answer
    x = 32,642.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.