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Finding the Third Proportional to 16,710 and 34,514

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Solution

The third proportional to 16,710 and 34,514 is: 71,287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,710 : 34,514 = 34,514 : x
  2. Step 2: Convert to fraction form
    16,710/34,514 = 34,514/x
  3. Step 3: Cross multiply
    16,710x = 34,514 × 34,514
  4. Step 4: Simplify right side
    16,710x = 1,191,216,196
  5. Step 5: Solve for x
    x = 1,191,216,196/16,710
  6. Step 6: Final answer
    x = 71,287.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.