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Finding the Third Proportional to 16,488 and 35,711

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Solution

The third proportional to 16,488 and 35,711 is: 77,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,488 : 35,711 = 35,711 : x
  2. Step 2: Convert to fraction form
    16,488/35,711 = 35,711/x
  3. Step 3: Cross multiply
    16,488x = 35,711 × 35,711
  4. Step 4: Simplify right side
    16,488x = 1,275,275,521
  5. Step 5: Solve for x
    x = 1,275,275,521/16,488
  6. Step 6: Final answer
    x = 77,345.68

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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.